SAT Probability and conditional probability Practice Question 15 (Medium)

Question bank / Probability and conditional probability

Math · Problem-Solving and Data AnalysisMedium

The probability of rain on Saturday is $0.3$ , and the probability of rain on Sunday is $0.4$ . Assuming that rain on the two days is independent, what is the probability that it does not rain on either day?

$0.12$

$0.3$

$0.42$

$0.58$

Show answer and explanation

Answer: C

The probability of no rain is $1 - 0.3 = 0.7$ on Saturday and $1 - 0.4 = 0.6$ on Sunday. Because the days are independent, multiply: $0.7 \times 0.6 = 0.42$ .

Choice D is the probability that it rains on at least one day, the complement of the event asked about.

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