JEE Advanced Mathematics question
India play 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
Answer: (A)
Solution
India plays 4 matches; the maximum total is 8. Let denote getting 0, 1, 2 points in a match: , , .
- **8 points:** 2 points in all four matches: . - **7 points:** 2 points
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