[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.64,0:00:02.97,Default,,0000,0000,0000,,Lad os lave lidt sandsynlighedsregning med kort.
Dialogue: 0,0:00:02.97,0:00:04.51,Default,,0000,0000,0000,,I denne video vil vi antage
Dialogue: 0,0:00:04.51,0:00:06.86,Default,,0000,0000,0000,,at der ingen jokere er.
Dialogue: 0,0:00:06.86,0:00:08.78,Default,,0000,0000,0000,,Du kan lave samme opgaver med en joker,
Dialogue: 0,0:00:08.78,0:00:11.56,Default,,0000,0000,0000,,men så er tallene blot lidt anderledes.
Dialogue: 0,0:00:11.56,0:00:13.39,Default,,0000,0000,0000,,Med det sagt,
Dialogue: 0,0:00:13.39,0:00:15.80,Default,,0000,0000,0000,,lad os først huske hvor mange kort,
Dialogue: 0,0:00:15.80,0:00:18.21,Default,,0000,0000,0000,,der er i et sæt spillekort.
Dialogue: 0,0:00:18.21,0:00:23.04,Default,,0000,0000,0000,,Du har 4 kulører, spar, ruder
Dialogue: 0,0:00:23.04,0:00:26.96,Default,,0000,0000,0000,,klør og hjerter.
Dialogue: 0,0:00:26.96,0:00:29.77,Default,,0000,0000,0000,,Du har 4 kulører og i hver af dem
Dialogue: 0,0:00:29.77,0:00:31.95,Default,,0000,0000,0000,,er der 13 forskellige kort
Dialogue: 0,0:00:31.95,0:00:33.64,Default,,0000,0000,0000,,eller
Dialogue: 0,0:00:43.97,0:00:47.92,Default,,0000,0000,0000,,Du har esset, så har du en 2'er, en 3'er, en 4'er
Dialogue: 0,0:00:47.92,0:00:52.21,Default,,0000,0000,0000,,en 5'er, en 6'er, 7, 8, 9, 10
Dialogue: 0,0:00:52.21,0:00:55.62,Default,,0000,0000,0000,,og så har du knægt, konge og dame.
Dialogue: 0,0:00:55.62,0:00:57.59,Default,,0000,0000,0000,,Det er i alt 13 kort.
Dialogue: 0,0:00:57.59,0:01:00.89,Default,,0000,0000,0000,,For hver kulør har du hver af disse.
Dialogue: 0,0:01:00.89,0:01:03.48,Default,,0000,0000,0000,,D
Dialogue: 0,0:01:03.48,0:01:05.91,Default,,0000,0000,0000,,Du kan have en ruder knægt, en klør knægt
Dialogue: 0,0:01:05.91,0:01:09.22,Default,,0000,0000,0000,,en spar knægt eller en hjert knægt.
Dialogue: 0,0:01:09.22,0:01:10.97,Default,,0000,0000,0000,,Når du ganger disse,
Dialogue: 0,0:01:10.97,0:01:13.53,Default,,0000,0000,0000,,Du tager et sæt spillekort og fjerner jokerne,
Dialogue: 0,0:01:13.53,0:01:15.24,Default,,0000,0000,0000,,og tælle dem, men du kan ogå
Dialogue: 0,0:01:15.24,0:01:18.74,Default,,0000,0000,0000,,gange de 4 kulører, hver med 13 kort.
Dialogue: 0,0:01:18.74,0:01:21.12,Default,,0000,0000,0000,,Du har 4 gange 13, som er 52 kort et sæt.s
Dialogue: 0,0:01:21.12,0:01:24.21,Default,,0000,0000,0000,,s
Dialogue: 0,0:01:24.21,0:01:25.79,Default,,0000,0000,0000,,Eller du kan sige,
Dialogue: 0,0:01:25.79,0:01:28.27,Default,,0000,0000,0000,,der er 13 af hver kulør
Dialogue: 0,0:01:28.27,0:01:31.12,Default,,0000,0000,0000,,og der er 4 kulører
Dialogue: 0,0:01:31.12,0:01:33.24,Default,,0000,0000,0000,,så igen 13 gange 4 og du får 52 kort.
Dialogue: 0,0:01:33.24,0:01:34.82,Default,,0000,0000,0000,,Lad os se på sandsynligheden for
Dialogue: 0,0:01:34.82,0:01:37.16,Default,,0000,0000,0000,,forskellige hændelser.
Dialogue: 0,0:01:37.16,0:01:38.53,Default,,0000,0000,0000,,Lad os sige jeg blander kortene godt.
Dialogue: 0,0:01:38.53,0:01:40.61,Default,,0000,0000,0000,,Jeg blander dem rigtig godt
Dialogue: 0,0:01:40.61,0:01:43.24,Default,,0000,0000,0000,,og så vælger jeg tilfældigt et kort fra bunken.
Dialogue: 0,0:01:43.24,0:01:46.40,Default,,0000,0000,0000,,Hvad er sandsynligheden for at
Dialogue: 0,0:01:46.40,0:01:50.22,Default,,0000,0000,0000,,jeg trækker en knægt?
Dialogue: 0,0:01:50.22,0:01:53.45,Default,,0000,0000,0000,,Hvor mange lige sandsynlige hændelser er der?
Dialogue: 0,0:01:53.45,0:01:56.54,Default,,0000,0000,0000,,Du kan vælge ethvert af de 52 kort.
Dialogue: 0,0:01:56.54,0:02:00.35,Default,,0000,0000,0000,,Der er 52 muligheder for at trække et kort.
Dialogue: 0,0:02:00.35,0:02:04.13,Default,,0000,0000,0000,,Hvor mange af de 52 muligheder er knægte?
Dialogue: 0,0:02:04.13,0:02:07.48,Default,,0000,0000,0000,,Du har spar knægt, ruder knægt,
Dialogue: 0,0:02:07.48,0:02:09.88,Default,,0000,0000,0000,,kør knægt og hjerter knægt.
Dialogue: 0,0:02:09.88,0:02:14.17,Default,,0000,0000,0000,,Der er 4 knægte i et sæt.
Dialogue: 0,0:02:14.17,0:02:18.09,Default,,0000,0000,0000,,Det er 4/52. Disse kan begge dividiers med 4
Dialogue: 0,0:02:18.09,0:02:23.06,Default,,0000,0000,0000,,4 divideret med 4 er 1. 52 divideret med 4 er 13.
Dialogue: 0,0:02:23.06,0:02:27.39,Default,,0000,0000,0000,,Hvad er sandsynligheden.
Dialogue: 0,0:02:27.39,0:02:28.98,Default,,0000,0000,0000,,Jeg gør det lige igen.
Dialogue: 0,0:02:28.98,0:02:30.60,Default,,0000,0000,0000,,Jeg putter knægten tilbage.
Dialogue: 0,0:02:30.60,0:02:31.85,Default,,0000,0000,0000,,blander kortene igen.
Dialogue: 0,0:02:31.85,0:02:34.02,Default,,0000,0000,0000,,Så jeg igen har 52 kot.
Dialogue: 0,0:02:34.02,0:02:37.29,Default,,0000,0000,0000,,Hvad er sandsynligheden for at få en hjerter+
Dialogue: 0,0:02:37.29,0:02:39.29,Default,,0000,0000,0000,,Hvad er sandsynligheden for at jeg tilfældgit
Dialogue: 0,0:02:39.29,0:02:43.72,Default,,0000,0000,0000,,fra et blandet sæt trækker en hjerter?
Dialogue: 0,0:02:43.72,0:02:46.58,Default,,0000,0000,0000,,Der er igen 52 mulige kort.
Dialogue: 0,0:02:46.58,0:02:47.48,Default,,0000,0000,0000,,jeg kan vælge i mellem.
Dialogue: 0,0:02:47.48,0:02:51.72,Default,,0000,0000,0000,,52 lige sandsynlige muligheder.
Dialogue: 0,0:02:51.72,0:02:55.01,Default,,0000,0000,0000,,Hvor mange af dem er hjerter?
Dialogue: 0,0:02:55.01,0:02:57.77,Default,,0000,0000,0000,,13 af dem er hjertere.
Dialogue: 0,0:02:57.77,0:03:00.18,Default,,0000,0000,0000,,Der er 13 kort i hver kulør.
Dialogue: 0,0:03:00.18,0:03:01.89,Default,,0000,0000,0000,,så der er 13 hjertere i sættet.
Dialogue: 0,0:03:01.89,0:03:03.35,Default,,0000,0000,0000,,Der er 13 rudere i sættet.
Dialogue: 0,0:03:03.35,0:03:04.97,Default,,0000,0000,0000,,Der er 13 sparer i sættet.
Dialogue: 0,0:03:04.97,0:03:07.49,Default,,0000,0000,0000,,Der er 13 klører i sættet
Dialogue: 0,0:03:07.49,0:03:12.57,Default,,0000,0000,0000,,13 ud af 52 vil være en hjerter, og begge disse
Dialogue: 0,0:03:12.57,0:03:14.27,Default,,0000,0000,0000,,kan divideres med 13.
Dialogue: 0,0:03:14.27,0:03:16.67,Default,,0000,0000,0000,,Det er det samme som 1/4.
Dialogue: 0,0:03:16.67,0:03:19.04,Default,,0000,0000,0000,,1 ud af 4 gange vil jeg få en hjerter
Dialogue: 0,0:03:19.04,0:03:21.69,Default,,0000,0000,0000,,eller jeg har en sandsynlighed på 1 ud af for at få en hjerter.
Dialogue: 0,0:03:21.69,0:03:24.62,Default,,0000,0000,0000,,når jeg tilfældigt vægler et kort fra et blandet sæt.
Dialogue: 0,0:03:24.62,0:03:27.16,Default,,0000,0000,0000,,Lad os nu gøre det lidt mere spændende.
Dialogue: 0,0:03:27.16,0:03:29.25,Default,,0000,0000,0000,,eller måske er det lidt indlysende.
Dialogue: 0,0:03:29.25,0:03:32.13,Default,,0000,0000,0000,,Hvad er sandsynligheden for at jeg vælger
Dialogue: 0,0:03:32.13,0:03:38.54,Default,,0000,0000,0000,,noget der er en knægt og en hjeter?
Dialogue: 0,0:03:42.12,0:03:44.23,Default,,0000,0000,0000,,Jer der kender lidt til kort
Dialogue: 0,0:03:44.23,0:03:45.60,Default,,0000,0000,0000,,ved at der kun er
Dialogue: 0,0:03:45.60,0:03:47.90,Default,,0000,0000,0000,,et kort, der både en knægt og en hjerter.
Dialogue: 0,0:03:47.90,0:03:49.52,Default,,0000,0000,0000,,Det er hjerter knægt.
Dialogue: 0,0:03:49.52,0:03:50.53,Default,,0000,0000,0000,,
Dialogue: 0,0:03:50.53,0:03:52.87,Default,,0000,0000,0000,,
Dialogue: 0,0:03:52.87,0:03:56.20,Default,,0000,0000,0000,,
Dialogue: 0,0:03:56.20,0:04:00.66,Default,,0000,0000,0000,,
Dialogue: 0,0:04:00.66,0:04:02.63,Default,,0000,0000,0000,,
Dialogue: 0,0:04:02.63,0:04:04.63,Default,,0000,0000,0000,,
Dialogue: 0,0:04:04.63,0:04:07.65,Default,,0000,0000,0000,,
Dialogue: 0,0:04:07.65,0:04:09.71,Default,,0000,0000,0000,,
Dialogue: 0,0:04:09.71,0:04:12.64,Default,,0000,0000,0000,,
Dialogue: 0,0:04:12.64,0:04:14.43,Default,,0000,0000,0000,,
Dialogue: 0,0:04:14.43,0:04:16.60,Default,,0000,0000,0000,,
Dialogue: 0,0:04:16.60,0:04:17.81,Default,,0000,0000,0000,,
Dialogue: 0,0:04:17.81,0:04:20.02,Default,,0000,0000,0000,,
Dialogue: 0,0:04:20.02,0:04:22.34,Default,,0000,0000,0000,,
Dialogue: 0,0:04:22.34,0:04:25.35,Default,,0000,0000,0000,,
Dialogue: 0,0:04:25.35,0:04:31.42,Default,,0000,0000,0000,,
Dialogue: 0,0:04:31.42,0:04:33.05,Default,,0000,0000,0000,,
Dialogue: 0,0:04:33.05,0:04:35.41,Default,,0000,0000,0000,,
Dialogue: 0,0:04:35.41,0:04:36.83,Default,,0000,0000,0000,,
Dialogue: 0,0:04:36.83,0:04:38.45,Default,,0000,0000,0000,,
Dialogue: 0,0:04:38.45,0:04:39.87,Default,,0000,0000,0000,,
Dialogue: 0,0:04:39.87,0:04:41.33,Default,,0000,0000,0000,,
Dialogue: 0,0:04:41.33,0:04:43.58,Default,,0000,0000,0000,,
Dialogue: 0,0:04:43.58,0:04:46.44,Default,,0000,0000,0000,,
Dialogue: 0,0:04:46.44,0:04:49.91,Default,,0000,0000,0000,,
Dialogue: 0,0:04:49.91,0:04:51.37,Default,,0000,0000,0000,,
Dialogue: 0,0:04:51.37,0:04:57.01,Default,,0000,0000,0000,,
Dialogue: 0,0:04:57.01,0:05:00.08,Default,,0000,0000,0000,,
Dialogue: 0,0:05:00.08,0:05:02.65,Default,,0000,0000,0000,,
Dialogue: 0,0:05:02.65,0:05:04.74,Default,,0000,0000,0000,,
Dialogue: 0,0:05:04.74,0:05:06.82,Default,,0000,0000,0000,,
Dialogue: 0,0:05:06.82,0:05:09.77,Default,,0000,0000,0000,,
Dialogue: 0,0:05:09.77,0:05:13.73,Default,,0000,0000,0000,,
Dialogue: 0,0:05:13.73,0:05:16.73,Default,,0000,0000,0000,,
Dialogue: 0,0:05:16.73,0:05:20.86,Default,,0000,0000,0000,,
Dialogue: 0,0:05:20.86,0:05:21.86,Default,,0000,0000,0000,,
Dialogue: 0,0:05:21.86,0:05:24.49,Default,,0000,0000,0000,,
Dialogue: 0,0:05:24.49,0:05:27.29,Default,,0000,0000,0000,,
Dialogue: 0,0:05:27.29,0:05:28.52,Default,,0000,0000,0000,,
Dialogue: 0,0:05:28.52,0:05:31.77,Default,,0000,0000,0000,,
Dialogue: 0,0:05:31.77,0:05:33.46,Default,,0000,0000,0000,,
Dialogue: 0,0:05:33.46,0:05:36.06,Default,,0000,0000,0000,,
Dialogue: 0,0:05:36.06,0:05:38.50,Default,,0000,0000,0000,,
Dialogue: 0,0:05:44.31,0:05:46.66,Default,,0000,0000,0000,,
Dialogue: 0,0:05:46.66,0:05:51.56,Default,,0000,0000,0000,,
Dialogue: 0,0:05:54.27,0:05:56.47,Default,,0000,0000,0000,,
Dialogue: 0,0:05:56.47,0:05:58.54,Default,,0000,0000,0000,,
Dialogue: 0,0:05:58.54,0:05:59.53,Default,,0000,0000,0000,,
Dialogue: 0,0:05:59.53,0:06:03.54,Default,,0000,0000,0000,,
Dialogue: 0,0:06:03.54,0:06:05.88,Default,,0000,0000,0000,,
Dialogue: 0,0:06:05.88,0:06:06.92,Default,,0000,0000,0000,,
Dialogue: 0,0:06:06.92,0:06:09.06,Default,,0000,0000,0000,,
Dialogue: 0,0:06:09.06,0:06:12.87,Default,,0000,0000,0000,,
Dialogue: 0,0:06:12.87,0:06:18.01,Default,,0000,0000,0000,,
Dialogue: 0,0:06:18.01,0:06:19.53,Default,,0000,0000,0000,,
Dialogue: 0,0:06:22.18,0:06:25.11,Default,,0000,0000,0000,,
Dialogue: 0,0:06:25.11,0:06:27.38,Default,,0000,0000,0000,,
Dialogue: 0,0:06:27.38,0:06:32.32,Default,,0000,0000,0000,,
Dialogue: 0,0:06:37.39,0:06:39.21,Default,,0000,0000,0000,,
Dialogue: 0,0:06:39.21,0:06:42.92,Default,,0000,0000,0000,,
Dialogue: 0,0:06:42.92,0:06:45.47,Default,,0000,0000,0000,,
Dialogue: 0,0:06:45.47,0:06:47.16,Default,,0000,0000,0000,,
Dialogue: 0,0:06:47.16,0:06:50.81,Default,,0000,0000,0000,,
Dialogue: 0,0:06:50.81,0:06:53.50,Default,,0000,0000,0000,,
Dialogue: 0,0:06:53.50,0:06:56.60,Default,,0000,0000,0000,,
Dialogue: 0,0:06:56.60,0:06:58.21,Default,,0000,0000,0000,,
Dialogue: 0,0:06:58.21,0:06:59.71,Default,,0000,0000,0000,,
Dialogue: 0,0:06:59.71,0:07:01.59,Default,,0000,0000,0000,,
Dialogue: 0,0:07:01.59,0:07:03.32,Default,,0000,0000,0000,,
Dialogue: 0,0:07:11.04,0:07:12.96,Default,,0000,0000,0000,,
Dialogue: 0,0:07:12.96,0:07:15.67,Default,,0000,0000,0000,,
Dialogue: 0,0:07:15.67,0:07:18.45,Default,,0000,0000,0000,,
Dialogue: 0,0:07:18.45,0:07:20.26,Default,,0000,0000,0000,,
Dialogue: 0,0:07:20.26,0:07:22.98,Default,,0000,0000,0000,,
Dialogue: 0,0:07:22.98,0:07:25.06,Default,,0000,0000,0000,,
Dialogue: 0,0:07:25.06,0:07:27.04,Default,,0000,0000,0000,,
Dialogue: 0,0:07:27.04,0:07:29.95,Default,,0000,0000,0000,,
Dialogue: 0,0:07:29.95,0:07:32.11,Default,,0000,0000,0000,,
Dialogue: 0,0:07:32.11,0:07:35.58,Default,,0000,0000,0000,,
Dialogue: 0,0:07:35.58,0:07:37.58,Default,,0000,0000,0000,,
Dialogue: 0,0:07:37.58,0:07:41.10,Default,,0000,0000,0000,,
Dialogue: 0,0:07:41.10,0:07:43.80,Default,,0000,0000,0000,,
Dialogue: 0,0:07:43.80,0:07:46.05,Default,,0000,0000,0000,,
Dialogue: 0,0:07:46.05,0:07:47.63,Default,,0000,0000,0000,,
Dialogue: 0,0:07:47.63,0:07:52.58,Default,,0000,0000,0000,,
Dialogue: 0,0:07:52.58,0:07:55.98,Default,,0000,0000,0000,,
Dialogue: 0,0:07:55.98,0:08:00.17,Default,,0000,0000,0000,,
Dialogue: 0,0:08:00.17,0:08:04.23,Default,,0000,0000,0000,,
Dialogue: 0,0:08:04.23,0:08:06.24,Default,,0000,0000,0000,,
Dialogue: 0,0:08:06.24,0:08:07.78,Default,,0000,0000,0000,,
Dialogue: 0,0:08:07.78,0:08:09.37,Default,,0000,0000,0000,,
Dialogue: 0,0:08:09.37,0:08:10.87,Default,,0000,0000,0000,,
Dialogue: 0,0:08:10.87,0:08:13.89,Default,,0000,0000,0000,,
Dialogue: 0,0:08:13.89,0:08:17.09,Default,,0000,0000,0000,,
Dialogue: 0,0:08:17.09,0:08:21.09,Default,,0000,0000,0000,,
Dialogue: 0,0:08:21.09,0:08:23.39,Default,,0000,0000,0000,,
Dialogue: 0,0:08:23.39,0:08:24.99,Default,,0000,0000,0000,,
Dialogue: 0,0:08:24.99,0:08:26.80,Default,,0000,0000,0000,,
Dialogue: 0,0:08:26.80,0:08:29.13,Default,,0000,0000,0000,,
Dialogue: 0,0:08:33.92,0:08:36.59,Default,,0000,0000,0000,,
Dialogue: 0,0:08:36.59,0:08:38.09,Default,,0000,0000,0000,,
Dialogue: 0,0:08:38.09,0:08:41.03,Default,,0000,0000,0000,,
Dialogue: 0,0:08:41.03,0:08:43.73,Default,,0000,0000,0000,,
Dialogue: 0,0:08:43.73,0:08:45.70,Default,,0000,0000,0000,,
Dialogue: 0,0:08:45.70,0:08:47.26,Default,,0000,0000,0000,,
Dialogue: 0,0:08:50.34,0:08:53.73,Default,,0000,0000,0000,,
Dialogue: 0,0:08:53.73,0:08:56.53,Default,,0000,0000,0000,,
Dialogue: 0,0:08:56.53,0:08:59.27,Default,,0000,0000,0000,,
Dialogue: 0,0:08:59.27,0:09:01.27,Default,,0000,0000,0000,,
Dialogue: 0,0:09:01.27,0:09:04.51,Default,,0000,0000,0000,,
Dialogue: 0,0:09:04.51,0:09:10.20,Default,,0000,0000,0000,,
Dialogue: 0,0:09:10.20,0:09:15.83,Default,,0000,0000,0000,,
Dialogue: 0,0:09:15.83,0:09:20.37,Default,,0000,0000,0000,,
Dialogue: 0,0:09:20.37,0:09:23.49,Default,,0000,0000,0000,,
Dialogue: 0,0:09:23.49,0:09:24.95,Default,,0000,0000,0000,,
Dialogue: 0,0:09:24.95,0:09:26.87,Default,,0000,0000,0000,,
Dialogue: 0,0:09:26.87,0:09:28.04,Default,,0000,0000,0000,,
Dialogue: 0,0:09:28.04,0:09:29.66,Default,,0000,0000,0000,,
Dialogue: 0,0:09:29.66,0:09:31.23,Default,,0000,0000,0000,,
Dialogue: 0,0:09:31.23,0:09:33.25,Default,,0000,0000,0000,,
Dialogue: 0,0:09:33.25,0:09:35.26,Default,,0000,0000,0000,,
Dialogue: 0,0:09:35.26,0:09:37.64,Default,,0000,0000,0000,,
Dialogue: 0,0:09:37.64,0:09:40.28,Default,,0000,0000,0000,,
Dialogue: 0,0:09:42.85,0:09:48.25,Default,,0000,0000,0000,,
Dialogue: 0,0:09:48.25,0:09:51.89,Default,,0000,0000,0000,,
Dialogue: 0,0:09:51.89,0:09:52.67,Default,,0000,0000,0000,,
Dialogue: 0,0:09:52.67,0:09:55.33,Default,,0000,0000,0000,,
Dialogue: 0,0:09:55.33,0:10:01.46,Default,,0000,0000,0000,,