| 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 |
A) \[\frac{1}{6}\]
B) \[\frac{5}{12}\]
C) \[\frac{11}{36}\]
D) \[\frac{5}{36}\]
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 \[=\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}\] |
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