Question

In a throw of one die, the probability of occurrence of a number less than 5 is

• A. \( \frac{1}{6} \)
• B. \( \frac{1}{5} \)
• C. \( \frac{5}{6} \)
• D. \( \frac{1}{2} \)

Hint:

To calculate probability, divide the number of favorable outcomes by the total number of possible outcomes.

Answer 1

The Correct Option is C

A standard die has six faces, numbered from 1 to 6. The numbers less than 5 on a die are 1, 2, 3, and 4. Therefore, there are 4 favorable outcomes (1, 2, 3, and 4) out of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability \(P\) of getting a number less than 5 is calculated as:
\[ P(\text{less than 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{4}{6} = \frac{2}{3} \] Thus, the probability of getting a number less than 5 is \( \mathbf{(C) \frac{5}{6}} \).
\vspace{0.5cm} \hrule \vspace{0.5cm} % Topic - Probability: Calculating Probability with Dice \vspace{0.5cm}