# Example: A coin is tossed twice. Let X denote the number of head on the first...

###### Question:

Example: A coin is tossed twice. Let X denote the number of head on the first toss and Y denote the total number of heads on the 2tosses. Construct the join probability mass function of X and Y is given below and answer the following questions.

 f(x, y) x Row Total 0 1 y 0 1 2 Column Total

(a) Find P(X = 0,Y <= 1)

(b) Find P(X + Y = 2)

(c) Find P(Y ≤ 1)

(d) Find the conditional probability P (X = 0 | Y ≤ 1)

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