Chapter 5, Problem 10PT

To determine

To find: The probability that all the selected 3 cards are face cards.

Answer to Problem 10PT

The probability is 0.010

Explanation of Solution

Given:

Number of face cards = 12

Number of cards in a deck = 52

Calculation:

The probability that all the selected 3 cards are face cards is calculated as:

  $\begin{array}{c}P\left(\text{3 face cards}\right)=\frac{12}{52}\times \frac{11}{51}\times \frac{10}{50}\\ =\frac{1320}{132600}\\ =0.010\end{array}$

Thus, the required probability is 0.010

Hence, the correct option is (c).