NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.2
Question 6

Question. 6

A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3) . Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons.

Answer:

False

Detailed Answer with Explanation:

Step 1: To decide whether outcomes are equally likely, we must check if each outcome has the same chance of happening.

Step 2: In a spinner, the chance of landing on a region depends on the area of that region. Bigger area → higher chance. Smaller area → lower chance.

Step 3: Look at the figure. The regions marked 1, 2, and 3 do not have the same size. Their areas are different.

Step 4: Since the regions are unequal, the arrow does not have the same probability of stopping at each region.

Step 5: Therefore, the outcomes 1, 2, and 3 are not equally likely.

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.2 | Detailed Answers