An experiment involves tossing a pair of dice, one green and one red, and record

Question

An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x.y). Event A is the event that the sum is less than 5. Event B is the event that a 2 occurs on either die. Event C is the event that a number less than 4 comes up on the green die Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) below

Explanation / Answer

a) A = {(1,1), (1,2), (2,1), (1,3), (2,2), (3,1)}

P(A) = 6/36 = 1/6

b) C = {(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)}

P(C) = 18/36 = 1/2

c) (A C) = {(1,1), (1,2), (2,1), (1,3), (2,2), (3,1)}

P(A C) = 6/36 = 1/6

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