# Question #59f14

##### 1 Answer

#### Explanation:

You can only get 3 distinct combinations using 3 coins. Either 1 head and two tails, 2 heads and 1 tail or 3 heads. Below are the possible configurations

The total amount of combinations between the 2 coins is

Thus

This simulation confirms the results using R

n<-0;

t<-100000;

for(i in 1:t)

{

boy1<-round(runif(3,0,1));

boy2<-round(runif(3,0,1));

if(sum(boy1)==sum(boy2) && sum(boy1)>0){n=n+1;}

}

n/t

this resulted in 0.29444