A six-sided die, with a number from 1 to 6 on each side, is rolled twice. What is the probability that two odd numbers are rolled consecutively?

Question

A six-sided die, with a number from 1 to 6 on each side, is rolled twice.

 

What is the probability that two odd numbers are rolled consecutively?

The answer in the pre test is 1/4. I cannot figure out they got that answer , can you explain.

Answer 1

Troy

The probability is p (odd on first throw) x p (odd on second throw)

As on a die there are 6 numbers, 3 odd, 3 even. So if you throw the die once p(odd) = 3/6 = 1/2

So p(odd) x p (odd) = 1/2 x 1/2 = 1/4

Mike