A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5 7 11 13 17

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A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5 7 11 13 17 19 23 29 3137 41 43 47 53 59 61 67 71 73 7983 89 97Choose one of these numbers at random. Find the probability thata. The number is odd b. The sum of the digits is odd c. The number is greater than 70

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Thông Đạt 5 years 2021-07-20T06:08:24+00:00 1 Answers 1852 views 1

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  1. ngocdiep
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    2021-07-20T06:09:58+00:00
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    Answer:

    a. 0.96 = 96% probability that the number is odd.

    b. 0.48 = 48% probability that the sum of the digits is odd.

    c. 0.24 = 24% probability that the number is greater than 70.

    Step-by-step explanation:

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

    We are given the prime numbers less than 100, they are:

    2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

    There are 25 prime numbers less than 100.

    a. The number is odd

    Of the 25, 24 are odd, only the number 2 is even. So

    24/25 = 0.96 = 96%

    0.96 = 96% probability that the number is odd.

    b. The sum of the digits is odd

    The sum of the digits is odd for:

    3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

    12/25 = 0.48 = 48%

    0.48 = 48% probability that the sum of the digits is odd.

    c. The number is greater than 70

    71, 73, 79, 83, 89, 97. 6 of them

    6/25 = 0.24 = 24%

    0.24 = 24% probability that the number is greater than 70.

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