NCERT Class X Chapter 14: Probability Example 13
NCERT Class X Chapter 14: Probability Example 13
Question:
Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is (i) 8? (ii) 13? (iii) less than or equal to 12?
Given:
Two dice are thrown simultaneously.
To Find:
The probability that the sum of the numbers on the dice is (i) 8, (ii) 13, (iii) less than or equal to 12.
Formula:
Probability = Number of favorable outcomesTotal number of outcomes
Solution:
Total possible outcomes = 6 × 6 = 36
(i) For sum of two numbers to be 8: Favorable outcomes are (2,6), (3,5), (4,4), (5,3), (6,2).
⇒ Number of favorable outcomes = 5.
⇒ Probability = 536
(ii) For sum of two numbers to be 13: No such outcome is possible.
⇒ Number of favorable outcomes = 0.
⇒ Probability = 036 = 0
(iii) For sum of two numbers to be ≤ 12: All outcomes have a sum less than or equal to 12. Number of favorable outcomes = 36.
⇒ Probability = 3636
⇒ Probability = 1
Result:
(i) Probability of sum being 8 = 536
(ii) Probability of sum being 13 = 0
(iii) Probability of sum being less than or equal to 12 = 1
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