Solution Found!
A Flush A flush in the card game of poker occurs if a
Chapter 5, Problem 37E(choose chapter or problem)
Problem 37E
A Flush A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). Answer the following questions to obtain the probability of being dealt a flush in five cards.
(a) We initially concentrate on one suit, say clubs. There are 13 clubs in a deck. Compute P(five clubs) = P(first card is clubs and second card is clubs and third card is clubs and fourth card is clubs and fifth card is clubs).
(b) A flush can occur if we get five clubs or five diamonds or five hearts or five spades. Compute P(five clubs or five diamonds or five hearts or five spades). Note that the events are mutually exclusive.
Questions & Answers
QUESTION:
Problem 37E
A Flush A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). Answer the following questions to obtain the probability of being dealt a flush in five cards.
(a) We initially concentrate on one suit, say clubs. There are 13 clubs in a deck. Compute P(five clubs) = P(first card is clubs and second card is clubs and third card is clubs and fourth card is clubs and fifth card is clubs).
(b) A flush can occur if we get five clubs or five diamonds or five hearts or five spades. Compute P(five clubs or five diamonds or five hearts or five spades). Note that the events are mutually exclusive.
ANSWER:
Solution:
Step 1 of 3:
A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades).
We have to find the following.
- The probability that all five are clubs.
- The probability that all five are clubs or all five are diamonds or all five are hearts or all five are spades.