What is the probability of rolling a sum of 3 on two dice and then rolling a sum of 7 on the next roll?

Question

Answer needs to be rounded to 3 decimal places.

Answer 1

 

 

 

There are   36 possibilities when rolling two dice.

 

The possibility getting  the sum of 3 is 1 and a 2 or 2 and a 1.  ( 2 ways)

 

So the probability is 2/36 or 1/18 =.056

 

The probability of getting the sum of 7 is:

 

1+6, 2+5, 3+4, 6+1, 5+2, 4+3   (6 different ways)

 

So the probability is 6/36 or 1/6=.167