Day: P(Rain)=0.2
Week: P(Rain on two days)=;
To calculate the probability of rain occurring on two specific days within a week, we need to make an assumption about the independence of rain events on different days.
Assuming that the occurrence of rain on one day does not affect the occurrence of rain on another day, we can use the multiplication rule to calculate the probability of rain on both days.
The multiplication rule states that for two independent events, the probability of both events occurring is equal to the product of their individual probabilities.
Given that the probability of rain on any single day is P(Rain) = 0.2, we can use this information to calculate the probability of rain on two specific days:
P(Rain on two days) = P(Rain on day 1) * P(Rain on day 2)
Since the two rain events are independent, we can simply multiply the individual probabilities:
P(Rain on two days) = 0.2 * 0.2
P(Rain on two days) = 0.04
Therefore, the probability of rain occurring on two specific days within a week is 0.04 or 4%.