Problem

The probability is 0.035 that a male will be color-blind. What is the probability that at least one out of a group of 57 males will be color-blind?

Answer

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Answer

Final Answer: The probability that at least one out of a group of 57 males will be color-blind is approximately \(\boxed{0.869}\).

Steps

Step 1 :The probability that at least one out of a group of 57 males will be color-blind is equivalent to 1 minus the probability that none of the 57 males will be color-blind.

Step 2 :The probability that a male is not color-blind is calculated as 1 - 0.035, which equals 0.965.

Step 3 :The probability that all 57 males are not color-blind is calculated as \((0.965)^{57}\), which equals approximately 0.131.

Step 4 :Therefore, the probability that at least one male is color-blind is calculated as 1 - 0.131, which equals approximately 0.869.

Step 5 :Final Answer: The probability that at least one out of a group of 57 males will be color-blind is approximately \(\boxed{0.869}\).

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