[Math] Probability that it will rain 2 consecutive days? How

meansprobability

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!

Best Answer

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 $0.12$.