Probability Help?

Suppose that we roll a pair of fair dice, so each of the 36 possible outcomes is

equally likely. Let A denote the event that the first dice lands on 3, let B be the event

that the sum of the dice is 8, and let C be the event that the sum of the dice is 7.

(i) Are A and B independent?

(ii) Are A and C independent?

Show your reasoning 

1 Answer

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  • fcas80
    Lv 7
    1 month ago
    Favourite answer

    P(A) = 1/6

    P(B) = 5/36

    P(C) = 1/6

    P(A and B) = 1/36, if 1st die 3 & 2nd die 5

    P(A and C) = 1/36  if 1st die 3 & 2nd die 4

    (i) P(A and B) does not equal P(A)xP(B), so not independent

    (ii) P(A and C) does equal P(A)xP(C), so independent

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