Chapter 13.4, Problem 2CFU

a.

To determine

To draw a Venn diagram to illustrate the event of selecting an ace or diamond from a deck of cards.

Explanation of Solution

Given:

A deck of cards.

Calculation:

There are $13$ of each suit clubs, diamonds, hearts, and spades in a deck of $52$ playing cards.

The following is the Venn diagram

  

b.

To determine

To find whether the events are mutually exclusive.

Answer to Problem 2CFU

No.

Explanation of Solution

Given:

A deck of cards.

Calculation:

No, because a card can be an ace and a diamond (an ace of diamonds).

c.

To determine

To write the formula to determine the probability of these events.

Answer to Problem 2CFU

  $\frac{4}{52}+\frac{13-1}{48}$

Explanation of Solution

Given:

A deck of cards.

Calculation:

The following is the formula for finding the probability of these events −

  $\frac{4}{52}+\frac{13-1}{48}$

There are $4$ ace cards and now since ace of diamond is already selected there remains total $12$ diamonds.