Question

A coin is tossed and a single $6$-sided die is rolled. Find the probability of landing on the tail side of the coin and rolling $4$ on the die.

• A. $\frac{1}{12}$
• B. $\frac{6}{5}$
• C. $\frac{4}{3}$
• D. $\frac{3}{4}$

Answer 1

The correct option is A $\frac{1}{12}$

$P$ (tail) $=$ $\frac{1}{2}$ and $P\left(4\right)=$ $\frac{1}{6}$

$P$ (tail and $4$) $=$ $P$(tail) $.P\left(4\right)$
$=$$\frac{1}{2}\times \frac{1}{6}$ $=$ $\frac{1}{12}$