Question

# A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.

Probability
The probability of drawing a yellow chip is $$\displaystyle\frac{{3}}{{{7}+{9}+{3}+{6}}}=\frac{{3}}{{25}}$$. Since there is replacement, the sample space remains the same as 25 chips. So, the probability of drawing a blue chip in the next draw is $$\displaystyle\frac{{6}}{{{7}+{9}+{3}+{6}}}=\frac{{6}}{{25}}$$. So, the probability of drawing a yellow then a blue (with replacement) is:
$$\displaystyle\frac{{3}}{{25}}×\frac{{6}}{{25}}=\frac{{18}}{{625}}$$