NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 20

Question.  20

When a die is thrown, the probability of getting an odd number less than 3 is

(A)

\(\dfrac{1}{6}\)

(B)

\(\dfrac{1}{3}\)

(C)

\(\dfrac{1}{2}\)

(D)

0

Detailed Answer with Explanation:

Step 1: A die has 6 faces. The possible outcomes are: 1, 2, 3, 4, 5, 6.

Step 2: We want an odd number that is also less than 3.

Odd numbers on a die are: 1, 3, 5.

Among these, the numbers less than 3 are only: 1.

Step 3: So, the favorable outcome is only {1}. That means total favorable outcomes = 1.

Step 4: Total possible outcomes when throwing a die = 6.

Step 5: Probability = (Number of favorable outcomes) ÷ (Total outcomes).

= \(\dfrac{1}{6}\).

Final Answer: Option (A).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers