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

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=0.0875