Question

A coin is flipped and a dice is rolled simultaneously. What is the probability of getting tail on the coin and number '4' on the dice?

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $\frac{1}{12}$

Answer 1

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

$P\left(\text{tail}\right)=$ Probability of getting a tail on the coin.
$P\left(\text{tail}\right)=\frac{1}{2}$

$P\left(4\right)=$ Probability of getting the number '4' on the dice.
$P\left(4\right)=\frac{1}{6}$

$P\left(\text{tail and}4\right)=$ Probability of getting tail on the coin and number '4' on the dice.
$P\left(\text{tail and}4\right)=P\left(\text{tail}\right)\times P\left(4\right)$

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

$P\left(\text{tail and}4\right)=\frac{1}{12}$