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Question

Question: The probability of getting a sum of at least 6 in three throws of a coin is...

The probability of getting a sum of at least 6 in three throws of a coin is

A

119/216

B

103/108

C

50/53

D

None

Answer

103/108

Explanation

Solution

Le E be the event of getting a sum of 6 or more

E\overline { \mathrm { E } } = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 1), (1, 2, 2), (2, 1, 2), (2, 2, 1), (1, 1, 3),(1,3,1), (3,1,1)}

n(E\overline { \mathrm { E } }) = 10

∴ P(5) = 1 -