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Probability
Two dice are tossed. The probability that the total score is a prime number is:
1 6
5 12
1 2
7 9
Show Answer
Correct Answer:
5 12
Explanation:
Clearly,
n
(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E
= { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5) }
∴
n
(E) = 15.
∴ P(E) =
n
(E)
=
15
=
5
.
n
(S)
36
12
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