Solve the problem.
-A 5-card hand is dealt from a deck of 52 cards. What is the probability that
a) none are queens?
b) all are queens?

A) a) $0.07487$ b) 0

B) a) 0 b) $0.65884$

C) a) $0.65884$ b) 0

D) a) 0 b) $0.07487$

Question

Solve the problem.
-A 5-card hand is dealt from a deck of 52 cards. What is the probability that 
a) none are queens?
b) all are queens?

A) a) $0.07487$ b) 0

B) a) 0 b) $0.65884$

C) a) $0.65884$ b) 0

D) a) 0 b) $0.07487$

Quizplus · Accepted Answer

a) To find the probability that none of the 5 cards are queens, we calculate the number of ways to choose 5 cards from the 48 that are not queens (since there are 4 queens in a deck of 52 cards) and divide by the total number of ways to choose 5 cards from 52. This gives us $\frac{{48 \choose 5}}{{52 \choose 5}}$, which equals approximately $0.65884$.b) To find the probability that all 5 cards are queens, since there are only 4 queens in a deck, it's impossible to draw a 5-card hand where all cards are queens. Therefore, the probability is $0$.

Solve the Problem 0.074870.074870.07487 B) 0 B) A) 0 B) 0.658840.658840.65884

Solve the Problem $0.07487$ B) 0

B) A) 0 B) $0.65884$