Question
if a pair of fair dice is rolled, what is the probability that we roll a total of five if we are given that the total is less than nine?
Answers
bobpursley
total less than nine
lets look at the ways to get nine or more
4,5; 4,6 four ways to do that
5,5; 5,6 four ways to do that
6,6 one way to do that.
Now, ways to get less than 9=
ways to throw two die, minus way to get nine or more= 36-9above=29 ways check that.
Now, if we roll a five, we have to
4,1 two ways to do that
3,2 two ways to do that.
Pr(5, given nine or less)=4/29
check all this, I have been up all night.
lets look at the ways to get nine or more
4,5; 4,6 four ways to do that
5,5; 5,6 four ways to do that
6,6 one way to do that.
Now, ways to get less than 9=
ways to throw two die, minus way to get nine or more= 36-9above=29 ways check that.
Now, if we roll a five, we have to
4,1 two ways to do that
3,2 two ways to do that.
Pr(5, given nine or less)=4/29
check all this, I have been up all night.
Anonymous
4/30