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12 May, 22:57

A two-person team is being chosen from two different groups. Group 1 has 5 males and 3 females. Group 2 has 7 males and 8 females. One person is chosen at random from each group. What is the probability that the team consists of two females?

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  1. 12 May, 23:25
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    20% probability that the team consists of two females

    Step-by-step explanation:

    Group 1

    5 males and 3 females, so 8 people. 3 of them are female.

    3/8 probability of selecting a female.

    Group 2

    7 males and 8 female, so 15 people, of which 8 are female.

    8/15 probability of selecting a female

    Team:

    Group 1 and group 2 are independent, so we just multiply these probabilities.

    3/8*8/15 = 0.2

    20% probability that the team consists of two females
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