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
ANSWERED
asked 2021-02-04
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.

Answers (1)

2021-02-05
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:
\(\displaystyle\frac{{3}}{{25}}×\frac{{6}}{{25}}=\frac{{18}}{{625}}\)
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