Chapter 12.3, Problem 39S

To determine

To calculate the probability to draw yellow or green chips from the bowl

Answer to Problem 39S

The probability to get yellow or green chips is 50%

Explanation of Solution

Given information:

Number of red chips a bowl contain is 3

Number of green chips a bowl contain is 6

Number of yellow chips a bowl contain is 5

Number of orange chips a bowl contain is 8

Formula used:

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

Calculation:

Total number of chips in a bowl = $3+6+5+8=22$

There are $5+6$ or 11 chips that are yellow or green

Probability to draw yellow or green chips from the bowl is calculated as,

  $\begin{array}{l}\text{P}\left(\text{yellow or green chips}\right)=\frac{\text{Number of yellow or green chips}}{\text{Total number of chips}}\times 100\%\\ \text{P}\left(\text{yellow or green chips}\right)=\frac{5+6}{22}\times 100\%\\ \text{P}\left(\text{yellow or green chips}\right)=\frac{11}{22}\times 100\%\\ \text{P}\left(\text{yellow or green chips}\right)=0.5\times 100\%\\ \text{P}\left(\text{yellow or green chips}\right)=50\%\end{array}$

Therefore, the probability to get yellow or green chips is 50%