Question

When two symmetrical dice are rolled simultaneously, the probability that both the dice show odd numbers is

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{4}$
• D. $\frac{1}{8}$

Answer 1

Answer: (C)

$\frac{1}{4}$

A dice can show an odd number in $3$ ways.
Number of cases that both dice show an odd number $=3\times 3=9$
Total number of cases $=36$
Probability that both the dice show odd numbers is $=\frac{9}{36}=\frac{1}{4}$