20. Two dice (one red and one green) are to be rolled. The sample space consists

Question

20. Two dice (one red and one green) are to be rolled. The sample space consists of the 36 outcomes listed below. The first number is what is rolled on the Red die and the second number is what is rolled on the Green. Determine: a) P(At least one of the dice is a 5) -',-*>1'1,b) P(Sum of the dice is equal to 7) 6c) P(Sum of the dice is 11 or more) 1,1 1,2 1,3 1,4 1,5 2,1 2,2 23 2,4 2,5 2 3.1 3.2 3.3. 3.4 3.5 3,6d) P(8oth are less than 3) e) P(Red is larger than Green) 4,1 4,2 4,3 4,4 4,5 4,6nPSumi 5,1 5,2 5,3 5,4 5,5 5,6g)PiRed-6) 6,1 6,2 6,3 6,4 6,5 6,6h) P(Largest number is a 5) i) P(Smallest number is a 5

Explanation / Answer

a) {(1,5),(2,5),...,(6,5),(5,1),(5,2),...,(5,6)} , prob = 11/36 = 0.3055

b) {(6,1),(5,2),...,(1,6)} , prob = 6/36 = 0.1666

c) {(5,6),(6,5),(6,6)} , prob = 3/36 = 0.0833

d) {(1,1),(1,2),(2,1),(2,2)} , prob = 4/36 = 0.1111

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