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

1) 0.8750

2) 0.0875

3) 0.0625

4) 0.0250

Solution: Option (2) 0.0875

Total number of matches played by India = 4

Maximum point in any two matches = 2

Therefore, the maximum number of points in four matches = 4(2) = 8

Hence, the required probability = P(7) + P(8)

= ⁴C₃ (0.5)³(0.05) + ⁴C₄ (0.5)⁴

= 0.025 + 0.0625

= 0.0875.