Exercise 2:
A bag contains 10 chips. 3 of the chips are red, 5 of the chips are white, and 2 of the chips are blue. Three chips are selected, with replacement. Find the probability that you select ex actly one red chip.

Step 1 ：$P(\text{exactly 1 red})=P(\text{RRW or WR or BR})$

Step 2 ：$P(\text{RRW})=P(\text{R}{)}^2\cdot P(\text{W})$

Step 3 ：$P(\text{WR})=P(\text{W}{)}^2\cdot P(\text{R})$

Step 4 ：$P(\text{BR})=(1-P(\text{W})-P(\text{R}){)}^2\cdot P(\text{R})$

Step 5 ：$P(RRW)=(\frac{3}{10}{)}^2\cdot \frac{5}{10}$

Step 6 ：$P(WR)=(\frac{5}{10}{)}^2\cdot \frac{3}{10}$

Step 7 ：$P(BR)=(1-\frac{5}{10}-\frac{3}{10}{)}^2\cdot \frac{3}{10}$

Step 8 ：$P(RRW)=(\frac{9}{100})\cdot \frac{1}{2}$

Step 9 ：$P(WR)=(\frac{25}{100})\cdot \frac{3}{10}$

Step 10 ：$P(BR)=(\frac{4}{100})\cdot \frac{3}{10}$

Step 11 ：$P(RRW)=\frac{9}{200}$

Step 12 ：$P(WR)=\frac{75}{1000}$

Step 13 ：$P(BR)=\frac{12}{1000}$

Step 14 ：$P(\text{exactly 1 red})=P(RRW)+P(WR)+P(BR)$

Step 15 ：$P(\text{exactly 1 red})=\frac{9}{200}+\frac{75}{1000}+\frac{12}{1000}$