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Jack won a prize to go on a discounted California trip for himself and 9 others....

Jack won a prize to go on a discounted California trip for himself and 9 others.

a) Upon posting on his social media page, people started expressing interest in joining him on the trip. If from past experience, the probability that a random respondent is male is 0.6 and that it is female is 0.4, what is the probability that he gets at least 2 females in his first 10 responses?

b) He has a total of 40 people (25 males and 15 female) interested to accompany him. If he picks randomly from this list, what is the probability that the trip will have at least 1 other male?

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