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1) If two dice are rolled simultaneously, find the probability of the following events.

i) Event A : The sum of the di

By Rose

1) If two dice are rolled simultaneously, find the probability of the following events.

i) Event A : The sum of the digits on the upper faces is at least 10.

ii) Event B : The sum of the digits on the upper faces is 33.​

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Question 22:
Which of the following is a measure of
variability?
Median
Mean
Mode
Standard deviation

1 thought on “1) If two dice are rolled simultaneously, find the probability of the following events. <br /><br />i) Event A : The sum of the di”

  1. s = {(1,1), (1,2), (1,3), (1,4), (1, 5), (1,6), (2, 1), (2, 2), (2,3), (2,4), (2, 5), (2,6), (3, 1), (3, 2), (3, 3), (3,4), (3, 5), (3, 6), (4, 1), (4, 2), (4,3), (4,4), (4, 5), (4,6), (5, 1), (5, 2), (5,3), (5,4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6,4), (6, 5), (6,6)}

    ∴ n(S) = 36

    i. Let A be the event that the sum of the digits on the upper faces is at least 10.

    ∴ A = {(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}

    ∴ n(A) = 6

    ∴ P(A) = n(A)/n(S) = 6/36

    ∴ P(A) = 1/6

    ii. Let B be the event that the sum of the digits on the upper faces is 33.

    The sum of the digits on the upper faces can be maximum 12.

    ∴ Event B is an impossible event.

    ∴ B = { }

    ∴ n(B) = 0

    ∴ P(B) = n(B)/n(S)= 0/36

    ∴ P(B) = 0

    iii. Let C be the event that the digit on the first die is greater than the digit on the second die.

    C = {(2, 1), (3, 1), (3,2), (4,1), (4,2), (4, 3), (5, 1), (5,2), (5,3), (5,4), (6,1), (6,2), (6, 3), (6, 4), (6, 5),

    ∴ n(C) = 15

    ∴ P(C) = n(C)/n(S) =15/36

    ∴ P(C) = 5/12

    ∴ P(A) = 1/6 ; P(B) = 0; P(C) = 5/12

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    Hope its help you✰✰

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