Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Three Dice Are Thrown Simultaneously. What is the Probability of Getting 15 as the Sum? - Mathematics

Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?

#### Solution

If three dices are thrown simultaneously, then the number of all the possible outcomes are 63 = 216.
∴ Total  number of possible outcome = n(S) = 216
Let A be the event of getting a sum of 15 when three dices are thrown simultaneously.
The favourable outcomes are as follows:
A = {(3,6 , 6), (4, 6, 5), (5, 6, 4), (6, 6, 3), (6, 3, 6), (6, 4, 5), (6, 5, 4), (4, 5, 6), (5, 5, 5), (5, 4, 6)}
i.e. number of favourable outcomes = n(A) = 10
Hence, required probability = P (getting a sum of 15) = $\frac{10}{216}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Q 5 | Page 71