Question: Probability of getting a multiple of 2 on one dice and a multiple of 3 on the other dice, when both dice are thrown simultaneously, is
Options:
A) $ \frac{1}{6} $
B) $ \frac{5}{12} $
C) $ \frac{11}{36} $
D) $ \frac{5}{36} $
Show Answer
Answer:
Correct Answer: A
Solution:
- Probability of getting multiple of 2 on one dice
$ =\frac{3}{6}=\frac{1}{2} $
Probability of getting multiple of 3 on other dice
$ =\frac{2}{6}=\frac{1}{3} $
$ \therefore $ Required probability $ =\frac{1}{2}\times \frac{1}{3}=\frac{1}{6} $