Question

If probability of having rain on a certain day is 2/5, then find the
probability of not having cash on that day.​

Answer 1

Answer:

Probability of at most one day of rain during next three day is  

7

27   or about   26

%

Step-by-step explanation:

Probability of at most one day of rain during next three day is 727 or about 26%

Explanation:

At most one day of rain during next three days means rain on not more than one day during next three days.

Let R denote rain on the day and N denote no rain on the day. Further let XXX denote R or N on next three days.

Ten we are looking for a pattern i.e. RNN,NRN, NNR or NNN.

Now as the probability of rain i.e. R is 23, probability of N is 13

and hence P(RNN)=P(NRN)=P(NNR)=23×13×13=227

and P(N N N)=1/3xx1/3xx1/3=1/27#

Hence, the probability of at most one day of rain during next three day is 3×227+127=727 or about 26%