Asked by mathhomework
In a mountain village it rains on average 5 days a week. Find the probability that over a weekend it rains on exactly one of the two days.
Answers
Answered by
bobpursley
If one considers each day independent of the day before (it is not),
pr(rainanyday)=5/7
Pr(rainonly one day)= 5/7 * 2/7 * 2ways
what can it happen on the weekend?
RR
RN
NR
NN
so of the possibilities, RN or nR are what we focus on.
Pr(rain only one day)=20/49
Lets check
Pr(rain both days)=25/49
pr(rain no days)=4/49
check: do these add to 1?
pr(rainanyday)=5/7
Pr(rainonly one day)= 5/7 * 2/7 * 2ways
what can it happen on the weekend?
RR
RN
NR
NN
so of the possibilities, RN or nR are what we focus on.
Pr(rain only one day)=20/49
Lets check
Pr(rain both days)=25/49
pr(rain no days)=4/49
check: do these add to 1?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.