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GSCE Mathematics Problem Solving Handling Data Higher Tier. Helping hand. Write down the different combinations you could have – work systematically. Work out the probability of one of the combinations. Do all combinations have the same probability?. Three dice are each numbered 1 to 6
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GSCE Mathematics Problem Solving Handling Data Higher Tier
Helping hand Write down the different combinations you could have – work systematically. Work out the probability of one of the combinations. Do all combinations have the same probability? Three dice are each numbered 1 to 6 Two of them are black and one is red. All three dice are rolled. What is the probability that the total on the two black dice will be equal to the score on the red dice?
Answer The possible combinations are: 1 1 2 2 1 3 3 1 4 4 1 5 5 1 6 1 2 3 2 2 4 3 2 5 4 2 6 1 3 4 2 3 5 3 3 6 1 4 5 2 4 6 1 5 6 Each of these has probability 1 x 1 x 1 = 1 6 6 6 216 So for 15 combinations: 15 x 1 = 15 = 5 216 216 72 15 combinations