Rainy day probability problem In Vancouver, the probability that a rainy day is followed by another rainy day is $0.5$. The probability that a sunny day is following a by rainy day is $0.7$. Find the probability of: 1. $2$ sunny days, and then $1$ rainy day 2. $2$ rainy days, and then $2$ sunny days 3. Rain 2 days later What I have so far is 1. $(0.7)(0.7)(0.5)$ 2. $(0.5)(0.5)(0.7)(0.7)$ Do I have the right idea on how to find these probabilities? I am assuming independence of events.

**HINT**

* 1) for the first sunny day p=1, thus p=0.3*0.7
* 2) for the first rainy day p=1, thus...