NCERT Class X Chapter 14: Probability Exercise 14.1 Question (24)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 24

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?

Given:

A die is thrown twice.

To Find:

(i) Probability that 5 will not come up either time.
(ii) Probability that 5 will come up at least once.

Formula:

Probability = Favorable Outcomes Total Outcomes

Solution:

(i) Probability that 5 will not come up either time:

Total outcomes = 6 × 6 = 36

Outcomes where 5 does not come up = 5 × 5 = 25

Probability = 25 36

(ii) Probability that 5 will come up at least once:

This can be calculated as 1 - P(5 does not come up either time)

Probability = 1 - 25 36 = 11 36

Result:

(i) Probability that 5 will not come up either time = 25 36
(ii) Probability that 5 will come up at least once = 11 36

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