Four cards are drawn at random from a well shuffled pack of... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

Four cards are drawn at random from a well shuffled pack of 52 playing cards. The probability that all the 4 are hearts, but one is a queen is

A

$\frac{^{4}c_{1} \times^{12}c_{3}}{^{52}c_{4}}$

B

$\frac{^{12}c_3}{^{52}c_4}$

C

$\frac{^{12}c_4}{^{52}c_4}$

D

$\frac{13^4}{^{52}c_4}$

Answer

$\frac{^{12}c_3}{^{52}c_4}$

Explanation

Solution

$P(E) = \frac{^{12}c_3}{^{52}c_4}$