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what is the probability of selecting a white jellybean from its package the second time, given that white jellybean is selected the first time?

User Argy
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Final answer:

The probability of selecting a white jellybean from its package the second time, given that a white jellybean is selected the first time, can be determined using conditional probability.

Step-by-step explanation:

The probability of selecting a white jellybean from its package the second time, given that a white jellybean is selected the first time, can be determined using the concept of conditional probability.

Let's denote the event of selecting a white jellybean on the first draw as W1. We are given that P(W1) = 1 (since a white jellybean is selected on the first draw). Now, let's denote the event of selecting a white jellybean on the second draw as W2.

The probability of selecting a white jellybean on the second draw, given that a white jellybean was selected on the first draw, can be calculated using the formula for conditional probability:

P(W2|W1) = P(W2 and W1) / P(W1)

Since we replaced the first jellybean after the first draw, the probability of selecting a white jellybean on the second draw, given that a white jellybean was selected on the first draw, remains the same. Therefore, P(W2|W1) = P(W2) = the probability of selecting a white jellybean from the package.

User Alexander Zeitler
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