Let A be the event that either a 3 or 4 is rolled first, follow by an even numbe

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Let A be the event that either a 3 or 4 is rolled first, follow by an even number. Let B be the event that the sum of the two rolls is at most 7 0.2/0.7 points ! Previous Answers llowskylntroStat1 3 Hw088 Roll two fair dice. Each die has six faces. Let A be the event that either a 3 or 4 is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most 7. E Part (a) List the sample space. (Select all that apply.) (3, 3) (2, 2) (4, 4) (0, 2) 0(0,4) (4, 1) -(5, 4) 0(1,4) (0, 6) $(4, 2) (0, 1) (1,5) z(6, 1) -(2, 6) (5, 5) (6, 5) (6, 7) (6, 3) -(6, 2) z(2, 3) z(3, 1) -(5, 1) -(5,6) 0(3,7) El Part (b) Find P(A) (Enter your answer as a fraction.) P(A) 9/16 Part (c) Find P(B). (Enter your answer as a fraction.) E Part (d) In words, explain what "PA B) represents

Explanation / Answer

Here A is the event that either a 3 or 4 is rolled first, followed by an even number.

So sample space for event A is : [(3,2), (3,4), (3,6) (4,2) (4,4) (4,6)]
Total no. of events can be = 6 * 6 = 36
P(A) = 6/36 = 1/6

Here B is the event that the sum of two rolls is at most 7.
So sample space for event B is:
[(1 6) (1 5) (1,4) (1,3) (1,2) (1,1)
(2,5) (2,4) (2,3) (2,2) (2,1)
(3,4) (3,3) (3,2) (3,1)
(4,3) (4,2) (4,1)
(5,2) (5,1)
(6,1) ]

Total no. of events can be = 6 * 6 = 36
So P(B) = 21/36 = 7/12

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