NCERT Class X Chapter 14: Probability Example 3

NCERT Class X Chapter 14: Probability Example 3

Question:

Suppose we throw a die once. (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less than or equal to 4?

Given:

A die is thrown once. The possible outcomes are {1, 2, 3, 4, 5, 6}.

To Find:

(i) Probability of getting a number greater than 4.
(ii) Probability of getting a number less than or equal to 4.

Formula:

Probability = Number of favorable outcomesTotal number of possible outcomes

Solution:

(i) Numbers greater than 4 are 5 and 6. 

Number of favorable outcomes = 2. 

Total number of possible outcomes = 6.
⇒ Probability = 26 = 13

(ii) Numbers less than or equal to 4 are 1, 2, 3, and 4. 

Number of favorable outcomes = 4. 

Total number of possible outcomes = 6.
⇒ Probability = 46 = 23

Result:

(i) The probability of getting a number greater than 4 is 13.
(ii) The probability of getting a number less than or equal to 4 is 23.

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