Question

Suppose there is a 52% chance of rain for each of the next four days. The probability that it rains every day for the next four days is .524. Express this as a decimal and round your answer to four decimal places.

Answer 1

The probability of rain for each day is 52% or 0.52. Since each day's weather is independent of the others, the probability of it raining for all four days is equal to 0.52 multiplied by itself four times.
Therefore, the probability is 0.52^4 = 0.0799. Rounded to four decimal places, the answer is 0.0799.