Probability that it will rain 2 consecutive days? How?

Question

so it's a pretty simple question but I am stumped, help anyone?

The first question was: i. Find the probability that it will rain on any particular day in August.

^We are given the mean number of days of rain for August (10.4) and I understand to get the answer you do 10.4 divided by 31 ( probability = 0.34 )

But what I don't know how to do is this question: ii. What is the probability that it will rain on two consecutive days in August?

I've tried but I'm not too sure what number I use with the mean to get the answer? The answer says probability is 0.12

All replies are greatly appreciated!

Answer 1

Try to think about it as any other problem that you have already worked with. If the probability of a certain event is $0.34$, what is the probability that this event occur two times in a row? $(0.34)\times(0.34) = 0.1156$ that is approximately $0.12$.

Answer 2

We are to find the probability of rain for 2 consecutive days in the month of August. It is given that the Mean number of days of rain for August is 10.4. So, the probability of rain for 2 consecutive days means - (10.4/31)x((10.4/30)=0.1163 or 0.12; i.e. 2 consecutive days refers to 31 days and 30 days.