A bin contains beach balls. Some beach balls have yellow on them. Some beach balls have blue on them. Some beach balls have yellow and blue

Question

A bin contains beach balls. Some beach balls have yellow on them. Some beach balls have blue on them. Some beach balls have yellow and blue on them. Let Y be the set of balls with yellow on them and B be the set of balls with blue on them.

What does P(Y∪B)=6 mean?

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Maria 2 weeks 2021-09-12T08:50:23+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T08:52:14+00:00

    There might be typo error. The probability of any quantity is always less than or equal to 1. So, the probability P(Y\cup B)=6 is not possible. It should be P(Y\cup B)=0.6.

    Answer:

    It means that the probability of getting a yellow or blue ball is 0.6.

    Step-by-step explanation:

    Given:

    Y = set of yellow balls

    B = set of blue balls

    Therefore, the union of both the balls is given by the set Y U B.

    The set Y U B represents the set that contains either yellow balls or blue balls but do not contain those balls that have both yellow and blue on them.

    So, n(Y\cup B)=n(Y)+n(B)-n(Y\cap B)

    Now, if P(Y\cup B)=0.6, it means that the probability of getting a ball that has either yellow or blue on it is 0.6. In other words, if there are 100 balls, then the chances of getting a ball having either yellow or blue on it is 60%.

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