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Description:
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?
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.
Full Transcript
- 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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