# Math Help - probability

1. ## probability

In a particular road it is estimated that there is a 31%chance that any specified house will be burgled over a period of two years, independently for each house. There are 6 houses in the road.What is the probability that fewer than two houses will be burgled over the period?

2. This is a binomial distribution with n=6 and p=0.31. If X is the number of houses burgled then we seek
$Pr(X<2)=Pr(X=0)+Pr(X=1)$
then use the formula
$Pr(X=x)=(^n_{x})p^x(1-p)^{n-x}$