Question

You roll two six-sided fair dice.

a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number.
P(A) =   Round your answer to four decimal places.

b. Let B be the event that the sum of the two dice is at most 7.
P(B) =  Round your answer to four decimal places.

Answer 1

total outcomes of rolling two dice=6^2=36

possible outcomes of A( either a 3 or 4 is rolled first followed by an odd number) =6 (as shown below)

31	41
33	43
35	45

P(A) = 6/36 =1/6 = 0.1667

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total possible outcomes of B = 21 as shown below

sum is at most 7 (or < = 7)

1,1	2,1	3,1	4,1	5,1	6,1
1,2	2,2	3,2	4,2	5,2
1,3	2,3	3,3	4,3
1,4	2,4	3,4
1,5	2,5
1,6

P(B) = 21/36 =0.5833

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