Question

In a single throw of three dice find the probability of getting a sum of 17 or 18.

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Answer 1

Step-by-step explanation:

We want sum to be greater than 16, So, sum could be either 17 or 18. No, other sum is possible because three dice being rolled give maximum sum of (6+6+6) i.e. 18.

Now,

Probability (Of getting sum >16) =( Favorable cases)/(Total Cases)

Here Favorable outputs are 17 and 18.

Total Possible Outputs are 3,4,5..........................18.

Favorable outcomes are obtained by 4 ways .

5,6,6

6,5,6

6,6,5

6,6,6

Total outcomes are :-

6*6*6= 216

Because, first dice can give 6 possible outcomes, second dice could give one of six possible outcomes and third dice could also give 6 possible outcomes. So, total possible outcomes by Fundamental law of multiplication are 256.

Probability = 4/216

Probability = 0.00925.