Chapter 13, Problem 24SGR

To determine

Calculate probability of P (blue or green)

Answer to Problem 24SGR

Probability of blue or green in a bag is $\frac{2}{3}$

Explanation of Solution

Given:

No. of blue marble=2

No. of red marble=5

No. of green marble=8

Calculations:

Here, we have to calculate probability of finding blue or green marbles in a bag..

Total number of marbles = 2+5+8=15

Thus, probability of finding blue is,

  $P\left(blue\right)=\frac{2}{15}$

Probability of finding green is,

  $P\left(green\right)=\frac{8}{15}$

Hence, probability of finding blue or green is,

  $\begin{array}{l}P\left(blueorgreen\right)=P\left(blue\right)+P(green)\\ P\left(blueorgreen\right)=\frac{2}{15}+\frac{8}{15}\\ P\left(blueorgreen\right)=\frac{10}{15}=\frac{2}{3}\end{array}$

Conclusion:

Therefore, we are able to calculate probability of finding blue or green marble in a bag.