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A die is thrown twice. What is the probability that - CBSE Class 10 - Mathematics

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Question

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: Throwinga die twice and throwing two dice simultaneously are treated as the same experiment].

Solution

Total number of outcomes = 6 × 6 = 36

(i)Total number of outcomes when 5 comes up on either time are (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (1, 5), (2, 5), (3, 5), (4, 5), (6, 5)

Hence, total number of favourable cases = 11

P (5 will come up either time)  = 11/36

P (5 will not come up either time)  = 1 - 11/36 = 25/36

(ii)Total number of cases, when 5 can come at least once = 11

P (5 will come at least once)  = 11/36

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 15: Probability
Ex. 15.10 | Q: 24 | Page no. 310
Solution A die is thrown twice. What is the probability that Concept: Probability - A Theoretical Approach.
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