Dry weekend with independent rain chances

Question

The forecast gives Saturday a $40\%$ chance of rain and Sunday a $70\%$ chance, and the two days are independent. What is the probability that neither day sees rain?

Short answer

$0.18$ . Each day is dry with probability $0.6$ and $0.3$ respectively, and independence lets us multiply: $0.6\times0.3=0.18$ .

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

See the hint and the full worked solution in the question bank (free account).

Open the worked solution

Lessons behind this question

Sample Spaces, Events, and the Probability Axioms
Independence
Conditional Probability, Total Probability, and Bayes' Rule

Start with a free lesson: Probability Fundamentals is part of a free topic. Create a free account, no card needed, to read it in full with worked solutions.

Read it free