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The probability that it rains tomorrow is 0.35 and the probability of a thunderstorm is 0.2. A thunderstorm occurs only when it rains. What is the probability that it rains but there is no thunderstorm?

Competition practiceData & Probability
  • A0.20
  • B0.55
  • C0.15
  • D0.45

Step-by-Step Solution

Every thunderstorm day is a rainy day, so the thunderstorm event lies inside the rain event. P(rain and no thunderstorm) = 0.35 − 0.2 = 0.15.
Answer: C) 0.15

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