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

Question 13

Step 1: Recall the rule of probability. The probability of any event always lies between 0 and 1 (both included). In symbols: \(0 \leq P(E) \leq 1\).

Step 2: Check each option one by one:

• (A) \(\tfrac{1}{3}\): This is equal to 0.333… which lies between 0 and 1. ✔ Valid probability.
• (B) 0.1: This is 0.1, which lies between 0 and 1. ✔ Valid probability.
• (C) 3%: Percentage means “out of 100.” So, 3% = \(\tfrac{3}{100} = 0.03\). This also lies between 0 and 1. ✔ Valid probability.
• (D) \(\tfrac{17}{16}\): Divide 17 by 16 = 1.0625. This is greater than 1. ✘ Not possible for probability.

Step 3: Since probability cannot be more than 1, option (D) \(\tfrac{17}{16}\) is not possible.

Final Answer: Option (D)