Question

What is the probability of flipping a coin two times,with the coin landing on heads all two times, androlling a 3 on a die?

Answer 1

Step 1: Probability of flipping a coin two times

Probability = number of required outcome/number of possible outcome

$\begin{gathered} \text{Probability of flipping required head coins = }1 \\ Total\text{ number of possible coins = 4} \\ \text{Probability of flipping coins twice = }\frac{1}{4} \end{gathered}$

Step 2 : Probability of rolling a 3 on a die

Probability = number of required outcome/number of possible outcome

$\begin{gathered} \text{ number of rolling a 3 on a die = 1} \\ \text{Total number of possible die = 6} \\ \text{Probability of rolling a 3 on a die = }\frac{1}{6} \end{gathered}$

Therefore

Probability of flipping a coin two times,

with the coin landing on heads all two times, and

rolling a 3 on a die =

$\frac{1}{4}\text{ }\times\text{ }\frac{1}{6}\text{ = }\frac{1}{24}$