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CAHSEE Math 6.3 Statistics, Data, and Probability I 199 Views


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Statistics, Data, and Probability I: Drill Set 6, Problem 3. Assuming the dealer is using a standard deck of 52 playing cards what is the probability that Pat's second card is also a queen?

Language:
English Language

Transcript

00:03

Here's a shmoopy question for you...

00:06

Pat is trying to become the first ever blind man to win a World Series of Poker bracelet.

00:11

Of course, he can't see the cards, so he just has to go all-in every hand.

00:15

On the final hand of the tournament, his opponent calls.

00:18

And just for the heck of it, she doesn't look at her cards either.

00:21

The dealer turns up one of Pat's hole cards to reveal a queen.

00:25

Assuming the dealer is using a standard deck of 52 playing cards...

00:29

...what is the probability that Pat's second card is also a queen?

00:33

Here are the potential answers...

00:38

The second card will depend on what the first card was, which was a queen of hearts.

00:43

With that card out of the picture, the deck has 51 cards left.

00:47

This is the sample space.

00:49

Because Pat is hoping for another queen,

00:52

even though one has already been eliminated from the deck...

00:56

...the number of ways for the event...drawing a queen... to occur is three...

01:02

since there are only three queens left. Therefore, the probability is 3/51, or 1/17.

01:07

Answer B.

01:10

And bingo... a second queen it is.

01:12

Unfortunately, his opponent had picked up aces, and they held.

01:15

Pat wondered if maybe he shouldn't have gone all-in that last hand, but...

01:19

...eh, hindsight is 20/20.

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