Three cards are drawn at random from a pack of 52 cards. Wha... | MATH - USE OF PERMUTATIONS AND COMBINATIONS IN PROBABILITY | SolveeIt | Solveeit

Today, August 24

Question

Three cards are drawn at random from a pack of 52 cards. What is the chance of drawing three aces

A

$\frac { 3 } { 5525 }$

B

$\frac { 2 } { 5525 }$

C

$\frac { 1 } { 5525 }$

D

None of these

Answer

$\frac { 1 } { 5525 }$

Explanation

Solution

Required probability is

$\frac { { } ^ { 4 } C _ { 1 } } { { } ^ { 52 } C _ { 3 } } = \frac { 1 } { 5525 }$ .