in a beacside it rains on 20percent of days and is windy on 30percent a days.if rain and wind are independent on any particular days find the probability that it rains and it windy

.20 * .30

To find the probability that it rains and is windy, given that rain and wind are independent on any particular day, we can multiply the probabilities of rain and wind occurring individually.

Let's denote:
- P(R) as the probability of rain occurring on a day.
- P(W) as the probability of wind occurring on a day.

Given that rain and wind are independent, we know that P(R and W) = P(R) × P(W).

From the information given:
- P(R) = 20% = 0.20 (since it rains on 20% of days)
- P(W) = 30% = 0.30 (since it is windy on 30% of days)

Now, we can substitute these values into the formula:
P(R and W) = P(R) × P(W) = 0.20 × 0.30 = 0.06

Therefore, the probability that it rains and is windy is 0.06, or 6%.