Nicole pulls a colored marble out of a bowl, choosing the marble at random. There are 120 marbles in the bowl, of which 60 are black, 38 are white, and the rest are red. What is the probability that she will pull a red marble, putting it back, and then pull a black marble out of the bowl?

Question

Nicole pulls a colored marble out of a bowl, choosing the marble at random. There are 120 marbles in the bowl, of which 60 are black, 38 are white, and the rest are red. What is the probability that she will pull a red marble, putting it back, and then pull a black marble out of the bowl?

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

The total number of red marbles in the bowl is 120 - 60 - 38 = 22.

The probability of drawing a red marble on the first draw is 22/120 = 11/60.

Since the marble is replaced before the second draw, the probability of drawing a black marble on the second draw is still 60/120 = 1/2.

The probability of drawing a red marble and then a black marble is the product of the two probabilities: (11/60) * (1/2) = 11/120.

Therefore, the probability that Nicole will pull a red marble first and then a black marble is 11/120.