Question

Two number cubes are rolled --one blue and one yellow. Find the probability that the blue cube is less than 3 and the product is 8.

Answer 1

Assuming they are dice, to work out the probability that the product is 8, the dice either have to be 2 and 4 or 4 and 2. The blue dice therefore has to be a 2 (4 is not less than 3), which is a 1 in 6 probability. The yellow one therefore has to be 4, which again is 1 in 6. The probablility that these both happen at the same time is given when they are multiplied together.
`(1)/(6)`x
`(1)/(6)` =
`(1)/(36)`.
Hope that is useful.