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a campus survey of owls indicates that 7 re charming, 4 re modest, and 3 re both charming and modest. find the probability that an owl is modest, given that he/she is charming.

Answer :

Final answer:

When considering only the charming owls, 3 out of 7 are both charming and modest. Therefore, the probability of an owl being modest, given that it is charming, is 3/7 or approximately 0.43.

Explanation:

The subject focused on in this question is probability. More specifically, it asks for the probability of an owl being modest, given that it is charming.

To solve this, we first need to understand the relationship between the owls. We know that there are 7 charming owls, 4 modest owls, and 3 that are both. The probability is the ratio of the number of favorable outcomes to the number of possible outcomes.

In this case, if we have already determined that an owl is charming, we are only considering the number of owls in the subset of charming owls. That's 7. Of these 7, there are 3 that are also modest. Therefore, the probability is 3/7 which can be approximated as 0.43 if require a decimal estimation.

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