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c. What is the probability that the chips are both green?
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please answer attached file
c. What is the probability that the chips are both green?
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Answer:
a. There are two cases where the chips are of different colors: drawing a blue chip followed by a green chip, or drawing a green chip followed by a blue chip.
The probability of drawing a blue chip on the first draw is 6/9 (since there are 6 blue chips out of 9 total chips).
After drawing a blue chip, there are 3 green chips left out of 8 total chips, so the probability of drawing a green chip on the second draw is 3/8.
Similarly, the probability of drawing a green chip followed by a blue chip is (3/9) x (6/8) = 1/4.
So the total probability of drawing chips of different colors is (6/9 x 3/8) + (3/9 x 6/8) + (1/4) = 11/18.
b. The probability of drawing a blue chip on the first draw is 6/9.
After drawing a blue chip, there are 5 blue chips left out of 8 total chips, so the probability of drawing another blue chip on the second draw is 5/8.
So the probability of drawing two blue chips in a row is (6/9) x (5/8) = 5/12.
Step-by-step explanation:
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