Question

A coin is tossed and a six-sided die is rolled. Find the probability of getting a head on the coin and a $6$ on the die.

• A. $\frac{1}{16}$
• B. $\frac{1}{12}$
• C. $\frac{1}{18}$
• D. None of these

Answer 1

Answer: (B)

$\frac{1}{12}$

A coin is tossed and a six-sided die is rolled.

We have to find the probability of getting head on the coin and a $6$ on the die.

Probability of getting head in the coin is $\frac{1}{2}$.

Probability of getting $6$ on the die is $\frac{1}{6}$.

Probability of getting head on the coin and a $6$ on the die is $\frac{1}{2}\times \frac{1}{6}=\frac{1}{12}$