Two symmetrical dice are rolled. The probability that at least one of

1.	Two symmetrical dice are rolled. The probability that at least one of the two numbers is greater than 4 is
Answer» S = {(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), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6),} n(S) = 36 Let Event A : At least one of the two is greater than 4. A = { (1,5), (1,6), (2,5), (2,6), (3,5), (3,6), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)} n (A) = 20 P(A) = n(A)/n(S) = 20/36 = 5/9 P(A) = 5/9

Two symmetrical dice are rolled. The probability that at least one of the two numbers is greater than 4 is

Answer»

S = {(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), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6),}

n(S) = 36

Let Event A : At least one of the two is greater than 4.

A = { (1,5), (1,6), (2,5), (2,6), (3,5), (3,6), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

n (A) = 20

P(A) = n(A)/n(S) = 20/36 = 5/9

P(A) = 5/9

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