From a well shuffled pack of 52 playing cards, four are draw... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

From a well shuffled pack of 52 playing cards, four are drawn at random. The probability that all are spades, but one is a king is

A

$\frac{^{39}c_4}{^{52} c_4}$

B

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

C

$1 - \frac{^{39}c_4}{^{52} c_4}$

D

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

Answer

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

Explanation

Solution

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