A number is selected at random from each of the sets £2,3,4} and {1, 3, 5}. Find the Probability that the sum of the two numb

Question

A number is selected at
random from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?
​

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Thu Giang 5 years 2021-08-04T15:11:20+00:00 1 Answers 30 views 1

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  1. thongdat2
    0
    2021-08-04T15:12:47+00:00
    Reply

    Answer:

    0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

    Step-by-step explanation:

    A probability is the number of desired outcomes divided by the number of total outcomes.

    A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

    The possible values for the sum are:

    2 + 1 = 3

    2 + 3 = 5

    2 + 5 = 7

    3 + 1 = 4

    3 + 3 = 6

    3 + 5 = 8

    4 + 1 = 5

    4 + 3 = 7

    4 + 5 = 9

    Find the probability that the sum of the two numbers is greater than 3 but less than 7?

    ​4 of the 9 sums are greater than 3 but less than 7. So

    p = \frac{4}{9} = 0.4444

    0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

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