A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of

Question

A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of choosing a multiple of 3 and a month starting with the letter M

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Ayla 2 weeks 2021-09-07T20:17:03+00:00 1 Answer 0

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    2021-09-07T20:18:49+00:00

    Answer:

    4/75

    Step-by-step explanation:

    We have two sample spaces

    1.Lottery balls

    2. Month of the year

    For lottery balls the sample space is S= 50

    Multiples of 3 between 1 and 50 are

    (3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

    Hence the probability of choosing a multiple of 3

    Pr(multiple of 3) = 16/50= 8/25

    Also the sample space for months of the year is S= 12

    Two months starts with letter m, March and may

    Pr(of months with m) = 2/12= 1/6

    the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

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