Two Unbiased Dice Are Thrown. Find the Probability that the Total of the Numbers on the Dice is Greater than 10. - Mathematics

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice is greater than 10.

Solution

If two dices are thrown simultaneously, then all the possible outcomes = 62 = 36
∴ Total  number of possible outcome, n(S) = 36
Let A = event where the the total of the numbers on the dices is greater than 10
Then the favourable outcomes are as follows:
A = {(5, 6), (6, 5), (6, 6)}
Number of favourable outcomes, n(A) = 3
Hence, required probability, P(A) = P (total of the numbers on the dices is greater than 10) =  $\frac{3}{36} = \frac{1}{12}$

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 9 | Page 46
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