Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .
Explanation:
We are given that there is a 23% chance it will rain on any day, we need to find what is the probability that it will rain on the first day and be clear (not rain ) on the next two days . Let's do it step by step:
Probability for first day is to rain i.e.
.
Probability for second day is to not rain i.e.
.
Probability for third day is to not rain i.e.
.
Now, Probability for occurrence of these 3 events simultaneously is :
⇒
⇒
⇒
∴ Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .