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Question: India plays two matches each with West Indies and Australia. In any match the probabilities of India...

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting point 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively, Assuming that the outcomes are independents, the probability of India getting at least 7 points is -

A

0.8750

B

0.0875

C

0.0625

D

0.0250

Answer

0.0875

Explanation

Solution

P (at least 7 point) = P (7 point) + P(8 point)

= 4C3 . (0.05)3 . 0.05 + 4C4(0.50)4 = 0.0875