Chapter 13.5, Problem 3CYU

To determine

To determine probability of given event.

Answer to Problem 3CYU

Probability of choosing both the given cards is $\frac{1}{2704}$

Explanation of Solution

Given information:

A card is randomly chosen and replace and second card is chosen.

  

Probability of choosing the given cards from the deck of 52 cards is $=\frac{1}{52}$

As the card is replaced, hence the probability of choosing second card is $=\frac{1}{52}$

Hence probability of choosing both the given cards is $=\frac{1}{52}\cdot \frac{1}{52}=\frac{1}{2704}$

(as the events are independent)