Two number cubes are rolled, one blue and one yellow.
Find the probability that the blue cube shows a number less than 3 and the product of the numbers on both cubes is 8.
Answer (2)
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. 6 1 x 6 1 = 36 1 .
Hope that is useful.
The probability that the blue cube shows a number less than 3, and the product of the two cubes is 8, is 36 1 . This is based on the valid combination of values from both cubes. Specifically, the only combination that satisfies both conditions is blue showing 2 and yellow showing 4.
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