Chapter 9.7, Problem 45E

(a)

To determine

To find:The probability that card is an even number card.

Answer to Problem 45E

The probability is $\frac{5}{13}$.

Explanation of Solution

There are 20 even number cards in a deck of 52 cards so, the probability is,

  $\begin{array}{c}P=\frac{20}{52}\\ =\frac{5}{13}\end{array}$

So, the probability is $\frac{5}{13}$.

(b)

To determine

To find:The probability that card is a heart or a diamond

Answer to Problem 45E

The probability is $\frac{1}{2}$.

Explanation of Solution

There are 13 card or heart and 13 card of diamonds in a deck of 52 cards so, the probability is,

  $\begin{array}{c}P=\frac{13+13}{52}\\ =\frac{26}{52}\\ =\frac{1}{2}\end{array}$

So, the probability is $\frac{1}{2}$.

(c)

To determine

To find:The probability that card is a nine or face card.

Answer to Problem 45E

The probability is $\frac{4}{13}$.

Explanation of Solution

Each suit has 3 face card and 1 nine. There are total 4 suits in the deck so, total number of cards which are either a face card or a nine are $4\left(3+1\right)=16$ . So, the probability is,

  $\begin{array}{c}P=\frac{16}{52}\\ =\frac{4}{13}\end{array}$

So, the probability is $\frac{4}{13}$.