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Probabilistic Reasoning Videos 13 videos
Hakim rolled a standard 6-sided die 3000 times. Which of the following is the most reasonable prediction of how many times he rolled a five?
Mercedes has a trick coin that's more likely to land on heads than on tails. She flipped the coin 1500 times, resulting in tails 450 times. What is...
A standard deck of playing cards contains 4 different suits, each of which has 13 cards. Assuming the deck is shuffled, what is the probability of...
TSI Math: Predicting a Sequence of Probabilities 55 Views
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Description:
A standard deck of playing cards contains 4 different suits, each of which has 13 cards. Assuming the deck is shuffled, what is the probability of randomly drawing 2 cards of the same suit in a row?
- Data Analysis, Statistics, and Probability / Probabilistic Reasoning
- Data Analysis, Statistics, and Probability / Probabilistic Reasoning
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:02
Okay sy mash members get a whole new section on
- 00:04
probability or probabilistic reasoning So let's dive in here to
- 00:08
a deck of cards A standard deck playing cards contains
- 00:11
four different suits each of which has thirteen cards Assuming
- 00:14
the deck is shuffled what is the probability of randomly
Full Transcript
- 00:17
drawing two cards of the same suit in a row
- 00:24
Think of these problems with probability in cards as a
- 00:28
simpler form of poker Before we draw the first card
- 00:31
there are a total of four times thirteen or fifty
- 00:33
two cards in the deck We don't know what the
- 00:36
same suit is until after we draw the first card
- 00:39
so it doesn't matter what the first card is right
- 00:41
The first card makes no contribution to the probability Suppose
- 00:44
first card we draw is a heart Well it could
- 00:47
be any suit but we'll use hearts Is an example
- 00:49
here because we're naturally loving people Hear it Some upright
- 00:52
we hard hearts Well we took a heart out of
- 00:54
the deck So now there are only twelve hearts left
- 00:58
in the deck right One goes away and there's only
- 01:01
fifty one cards in the whole deck The probability that
- 01:04
our second card is a heart that is twelve over
- 01:07
fifty one or twenty four percent not twenty five And
- 01:10
this is huge is a huge concept You have to
- 01:13
know this because it'll be on the test We can
- 01:15
almost promise you this concept but as you take away
- 01:17
cards your probabilities change All right Because the first card
- 01:21
could be anything while the probability of randomly drawing two
- 01:24
cards of the same suit in a row is twenty
- 01:26
four percent Another way to arrive at same answer it's
- 01:29
to consider each suit separately For example the probability of
- 01:32
randomly drawing two hearts in a row is thirteen over
- 01:35
fifty two times twelve over fifty one Well this probability
- 01:39
is the same Each of the other three suits we
- 01:42
don't care which suit the cards are as long as
- 01:44
it's the same So add up the individual probabilities for
- 01:48
each suit and you get this mess of a thing
- 01:50
here thirteen or fit to tone The this thing right
- 01:53
there four times that quantity because thirteen over fifty two
- 01:58
equals twelve over fifty one is point two for justice
- 02:02
before it's kind of like we did a little proof
- 02:03
there anyway right answer gets d it's twenty four percent 00:02:07.44 --> [endTime] Them's The odds
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