Chapter 12.4, Problem 57S

To determine

To find: the probability of blue tiles.

Answer to Problem 57S

The probability of blue tiles is $\frac{6}{23}$ .

Explanation of Solution

Given information:

Given data:

There are 12 blue tiles, 8 green tiles, 4 yellow tiles, 12 black tiles and 10 red tiles

Calculation:

Total number of tiles in the bag is-

  $\begin{array}{l}10+12+8+4+12\\ =46\text{ tiles}\end{array}$

There are 12 blue tiles in the bag of 46 tiles.

To calculate the probability of blue tiles,

  $\begin{array}{l}\text{P}\left(\text{blue}\right)=\frac{12}{46}\left[\frac{\text{Number of favourable outcomes}}{\text{Number of possibble outcomes}}\right]\\ \approx \frac{6}{23}\text{ or }0.26\end{array}$

Hence, the probability can be stated as $\frac{6}{23}$ or about $0.26$ or about $26\%$ .