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ExamsJEE AdvancedMaths

What is the probability of having at least two rainy days within a span of 7 days?

  1. 1 - (7/10)⁷ - 7C1 * (3/10) * (7/10)⁶
  2. 1 - (7/10)⁷ - 7C1 * (3/10) * (7/10)⁶
  3. 1 - (7/10)⁷ - 7C1 * (3/10) * (7/10)⁶
  4. 1 - (7/10)⁷ - 7C1 * (3/10) * (7/10)⁶

Correct answer: 1 - (7/10)⁷ - 7C1 * (3/10) * (7/10)⁶

Solution

The probability of at least two rainy days is the complement of having zero or one rainy day. This is calculated as 1 minus the probabilities of zero and one rainy day, which are derived using the binomial distribution formula.

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