We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
1291
1
avatar+4299 

The probability of getting rain on any given day in June in Capital City is 1/10. What is the probability that it rains on at most 2 days in June? Express your answer as a decimal to the nearest thousandth.

 Sep 17, 2016
 #1
avatar+102372 
+1

There are 30 days in June and we want to choose any two of them....this is a binomial probability problem

 

"At most"   means it either rains 0 days, 1 day or 2 days

 

0 days  = (9/10)^30  = 0.042391158275216203514294433201

 

1 day = C(30,1) (1/10)(9/10)^29  = 0.14130386091738734504764811067

 

2 days =  C(30,2) * (1/10)^2 * (9/10)^28 =  0.227656220366901833687877511635

 

The sum of these =  0.411351239559505382249820055506  ≈  0.411

 

 

 

cool cool cool

 Sep 17, 2016

26 Online Users