Solve the problem.
-Suppose 5 cards are drawn from a deck of 52 cards. What is the probability of drawing 4 aces with any other card?
A) $\frac { 1 } { 54,145 }$
B) $\frac { 1 } { 5,997,600 }$
C) $\frac { 1 } { 676 }$
D) $\frac { 1 } { 10,829 }$

Question

Solve the problem.
-Suppose 5 cards are drawn from a deck of 52 cards. What is the probability of drawing 4 aces with any other card? 
A) $\frac { 1 } { 54,145 }$
B) $\frac { 1 } { 5,997,600 }$
C) $\frac { 1 } { 676 }$
D) $\frac { 1 } { 10,829 }$

Quizplus · Accepted Answer

The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The number of ways to choose 4 aces from 4 is 1, and the number of ways to choose 1 card from the remaining 48 cards is 48. The total number of ways to choose 5 cards from 52 is $\binom{52}{5}$. Thus, the probability is $\frac{1 \times 48}{\binom{52}{5}} = \frac{1}{54,145}$.

Solve the Problem 154,145\frac { 1 } { 54,145 }54,1451​ B) 15,997,600\frac { 1 } { 5,997,600 }5,997,6001​

Solve the Problem $\frac { 1 } { 54,145 }$ B) $\frac { 1 } { 5,997,600 }$