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The sample space of equally likely outcomes for the

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The sample space of equally likely outcomes for the experiment of rolling two fair dice is :

11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 62 63 64 65

66

Identify the events N: the sum is at least nine, T: at least one of the dice is a two, and F: at least one of the dice is a five.

a.) Find P(N).

b.) Find P(N I F).

c.) Find P(N I T).

d.) Determine from the previous answers whether or not the events N and F are independent; whether or not N and T are.

Reference no: EM13644979

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