Question 1 Two dice are rolled once, let A = 'Sum of two dice equals 3' B = 'Sum of two dice equals 7' C='at least one of the dice shows number 1' D = 'same number on the two dice' (a) What is P(A | C) (b) What is P(BIC) (c) Suppose getting event D is considered a success. Find the probability distribution of the number of success and its mean and variance.

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A: Given  P(j)=0.35, P(k)=0.19   P(j and k^c)=?  Where j and k are independent

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