Question

A box contains 2 green, 5 blue, and 8 yellow chips. If two chips are drawn at random one after the other with replacement, find the probability that both the chips are green. a) 4/225. b) 2/225. c) 1/225. d) 3/29

Answer 1

To determine the probability that both the chips are green:

$\text{Probability =}\frac{\text{ number of required outcome}}{\text{ number of possible outcome}}$

$\begin{gathered} G\text{reen =2} \\ B\text{lue }=\text{ 5} \\ \frac{Y\text{ellow = 8}}{} \\ \frac{\text{Total = 15}}{} \end{gathered}$$\begin{gathered} \text{Probability (gr}een)=\frac{\text{ number of gr}een}{total\text{ number}} \\ Pr(\text{green) =}\frac{2}{15}\text{ } \\ Pr(\text{both are gre}en)=\frac{2}{15}\text{ x }\frac{2}{15}=\frac{4}{225} \end{gathered}$

Therefore the probability that both the chips are green =4/225

Hence the correct answer is Option A