Chapter SH, Problem 13.6.9EP

To determine

To find:the probability $P(\text{ not red })$

Answer to Problem 13.6.9EP

The required probability is $\frac{3}{5}\text{ or }60\%$

Explanation of Solution

Given:

Number of blue marbles is 4

Number of red marbles is 6

Number of green marbles is 3

Number of yellow marbles is 2

Select one marble at random.

Calculation:

Total number of marbles is $4+6+3+2=15$

Number of non- red marbles is 9 .

  $\begin{array}{l}P(\text{not red})=\frac{\text{ number of non-red marbles }}{\text{ total number of marbles }}\\ =\frac{9}{15}\\ =\frac{3}{5}\\ =60\%\end{array}$

Hence, the required probability is $\frac{3}{5}$ or $60\%$

Conclusion:

Therefore, the required probability is $\frac{3}{5}\text{ or }60\%$