Question

If a fair dice is thrown, what is the probability of getting a number which is divisible by 2 or 3?

• A. $\left(\frac{1}{6}\right)$
• B. $\left(\frac{1}{3}\right)$
• C. $\left(\frac{2}{3}\right)$
• D. $\left(\frac{5}{6}\right)$

Answer 1

The correct option is C

$\left(\frac{2}{3}\right)$

Possible outcomes = (1, 2, 3, 4, 5, 6)
Favorable outcomes = (2, 3, 4, 6)
Probability = (Number of favorable outcomes/Total number of outcomes)
=$\left(\frac{4}{6}\right)=\left(\frac{2}{3}\right)$