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hoa [83]
3 years ago
12

Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

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• factor out sin(<em>A</em>) cos(<em>A</em>)

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• rearrange terms in the product

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• rewrite cos = 1/sec, i.e. sec = 1/cos

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• divide through again by cos²(<em>A</em>)

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(Note that some of these steps are optional or can be done simultaneously)

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