Question

If a dice is thrown twice, find the probability of getting two 5's.

• A. $\frac{1}{12}$
• B. $\frac{1}{36}$
• C. $\frac{1}{3}$

Answer 1

The correct option is B $\frac{1}{36}$

Sample space = {1,2,3,4,5,6}

P(getting a 5 on the first throw) $=\frac{1}{6}$

P(getting a 5 on the second throw) $=\frac{1}{6}$

P(two 5's) $=\frac{1}{6}\times \frac{1}{6}=\frac{1}{36}$