Chapter 12.7, Problem 5PPS

a.

To determine

To find the experimental probability of drawing a heart.

Answer to Problem 5PPS

The $\text{Experimental probability of drawing a heart}=\frac{1}{5}\text{ or 20\%}$ .

Explanation of Solution

Given information:

The given statement is:

“Javier is drawing a card from a standard deck of cards, recording the suit, and then replacing the card in the deck. The table below shoes his results:”

  

Formula used:

The following formula is used:

  $\text{Experimental probability}=\frac{\text{Frequency of an outcome}}{\text{Total number of trials}}$

Calculation:

The experimental probability of drawing a heart can be calculated by:

  $\begin{array}{l}\text{Experimental probability of drawing a heart}=\frac{\text{5}}{\text{25}}\\ \text{Experimental probability of drawing a heart}=\frac{1}{5}\text{ or 20\%}\end{array}$

Hence, the $\text{Experimental probability of drawing a heart}=\frac{1}{5}\text{ or 20\%}$ .

b.

To determine

To find the experimental probability of drawing a black card.

Answer to Problem 5PPS

The $\text{Experimental probability of drawing a black card}=\frac{16}{\text{25}}\text{ or 64\%}$ .

Explanation of Solution

Given information:

The given statement is:

“Javier is drawing a card from a standard deck of cards, recording the suit, and then replacing the card in the deck. The table below shoes his results:”

  

Formula used:

The following formula is used:

132 $\text{Experimental probability}=\frac{\text{Frequency of an outcome}}{\text{Total number of trials}}$

Calculation:

The experimental probability of drawing a black card can be calculated by:

  $\text{Experimental probability of drawing a black card}=\frac{16}{\text{25}}\text{ or 64\%}$

Hence, the $\text{Experimental probability of drawing a black card}=\frac{16}{\text{25}}\text{ or 64\%}$ .

c.

To determine

To find the experimental probability of drawing a spade for both tests.

Answer to Problem 5PPS

The $\text{Experimental probability of drawing a spade}=\frac{3}{10}\text{ or 30\%}$ .

Explanation of Solution

Given information:

Javier repeated his test. The results are shown below.

  

Formula used:

The following formula is used:

  $\text{Experimental probability}=\frac{\text{Frequency of an outcome}}{\text{Total number of trials}}$

Calculation:

The experimental probability of drawing a spade for both tests can be calculated by:

  $\begin{array}{l}\text{Experimental probability of drawing a spade}=\frac{15}{\text{50}}\\ \text{Experimental probability of drawing a spade}=\frac{3}{10}\text{ or 30\%}\end{array}$

Hence, the $\text{Experimental probability of drawing a spade}=\frac{3}{10}\text{ or 30\%}$ .