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Q.

India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting 0, 1 and 2 points 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 

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a

0.875

b

0.0875

c

0.0625 

d

0.0250 

answer is B.

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Detailed Solution

Probability of getting at least 7 points 

        = (probability of getting 2 points each from

3 matches) 

                x (probability of getting 1 point from 

                                                     one match)

 + probability of getting 2 points from each of the 

                                                    four matches

=4C3(0.5)3(0.05)+(0.5)4=(0.5)3(0.2)+(0.5)4=(0.125)(0.7)=0.0875

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