Question

It has rained two out of the past nine days.

Based on this data, what is the probability
that it will not rain for the next four days?

Answer 1

The probability of no rain for the next four days is 2401/6561 or approximately 36.64%.

Step-by-step explanation:

To find the probability that it will not rain for the next four days, we need to consider the probability of rain on each day and then calculate the complement. We know that it has rained two out of the past nine days, so the probability of rain on any given day is 2/9. The probability of no rain on a specific day is 1 - 2/9 = 7/9. Assuming each day is independent, the probability of no rain for four consecutive days is (7/9) * (7/9) * (7/9) * (7/9) = 2401/6561, which is approximately 0.3664 or 36.64%.

Answer 2

There is only a 25% of the probability