Chapter 10, Problem 1CR

To determine

To calculate:

Probability that one choose a tile with a letter $S$ and other than $P$ .

Answer to Problem 1CR

Probability that one choose a tile with a letter $S$ and other than $P$ is $0.22$ and $0.78$ respectively.

Explanation of Solution

Given information:

A bag contains $9$ tiles, one for each letter in the word HAPINESS.

Calculation:

Theoretical probability refers to the ratio of favorable outcomes to the overall number of outcomes.

Favorable outcomes are $2$ , the total number of outcomes is $9$ .

Thus, the required probability is as given:

  $P$ (Tile with letter $S$ ) $=\frac{2}{9}$ .

There are $2$

  $Ps$ . So Probability of choosing one tile with the letter $P$ is $\frac{2}{9}$ .

So using complement rule to get probability of choosing a tile with a letter than $P$ .

Thus, the required probability is as given:

  $P$ (Tile with letter other than $P$ )

  $\begin{array}{l}=1-\frac{2}{9}\\ =0.78\end{array}$ .

Hence, Thus, Answer is $0.22$ and $0.78$ .