Question

If the probability of rain for the next three days is 34%,56% and 42%. What is the probability that it will rain all three days?

Answer 1

The probability that it will rain on all three days is approximately 8.0064%, calculated by multiplying the decimal form of the daily probabilities together (0.34, 0.56, and 0.42).

Step-by-step explanation:

To calculate the probability that it will rain all three days, assuming the probability for each day is independent of the others, you would multiply the probabilities together:

P(rain on all three days) = P(rain on day 1) × P(rain on day 2) × P(rain on day 3)

First, convert the percentages to their decimal form:

• P(rain on day 1) = 34% = 0.34
• P(rain on day 2) = 56% = 0.56
• P(rain on day 3) = 42% = 0.42

Then multiply the decimal probabilities together:

P(rain on all three days) = 0.34 × 0.56 × 0.42 ≈ 0.080064, or about 8.0064%.

Therefore, the probability that it will rain on all three days is approximately 8.0064%.