ProbabilityHard
Question
India plays two matches each with west and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0, 45, 0.05 respectively. Assuming that the outcomes are independent, the probability of india getting at least 7 points , is
Options
A.0.8750
B.0.0875
C.0.0625
D.0.0250
Solution
India play 4 matches and getting at least 7 points. It can only be possible in WWWD orWWWW position where W represent two points and D represents one point.
Therefore, the probability of the required event
= 4C3 (0.05)(0.5)3 + 4C4 (0.5)4
= [4(0.05) + 0.5](0.5)3 = 0.0875
Therefore, the probability of the required event
= 4C3 (0.05)(0.5)3 + 4C4 (0.5)4
= [4(0.05) + 0.5](0.5)3 = 0.0875
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