Questions
India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting
points 0, 1 and 2 are 0.45, 0.05 and 0.50, respectively. Assuming that the outcomes are independent, the probability
of India getting at least 7 points is
detailed solution
Correct option is C
P(at least 7 points) = P(7 points) + P(8 points)['.' at most 8 points can be scored]Now, 7 points can be scored by scoring 2 points in 3 matches and 1 point in one match. Similarly, 8 points can be scored byscoring 2 points in each of 4 matches. Therefore, the required probability is 4C1×[P(2 points )]3P(1 point )+[P(2 points )]4=4(0.5)3×0.05+(0.50)4=0.0250+0.0625=0.0875Similar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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