Solution:
Total number of outcomes when die is thrown twice = 6 × 6 = 36.
(i) Number of possible outcomes when 5 will come up either time = (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (1, 5), (2, 5), (3, 5), (4, 5), (6, 5) = 11
Probability that 5 will come up either time = Number of possible outcomes/Total number of favourable outcomes
= 11/36
The probability that 5 will not come up either time = 1 - 11/36
= 25/36
(ii) Number of possible outcomes when 5 will come up at least once = 11
The probability that 5 comes up at least once = Number of possible outcomes/Total number of favourable outcomes
= 11/36
The probability that 5 will not come up either time is 25/36 and the probability that 5 will come up is 11/36.
Check out more about terms of probability.
☛ Check: NCERT Solutions for Class 10 Maths Chapter 15
Video Solution:
A die is thrown twice. What is the probability that (i) 5 will not come up either time? (ii) 5 will come up at least once? [Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]
NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.1 Question 24
Summary:
A die is thrown twice.The probability that (i) 5 will not come up either time is 25/36 and (ii) 5 will come up at least once is 11/36
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