On a six-day vacation, the forecast is a 70% chance of rain every day. What’s the probability that it rains every day?

0.12 (12%)

Step-by-step explanation:

Step 1: Given data

Probability of rain every day: 70% (0.7)

Step 2: Calculate the probability that it rains every day

The probability that it rains one day is independent of the probability that it rains another day. For independent events, we can calculate the probability that it rains every day by multiplying the individual probabilities. Since the individual probabilities are equal, this is the same as raising the individual probability to the number of days.

P = 0.7⁶ = 0.12