Question

You roll a 6 sided die 2 times what is the probability of rolling a 4 and then rolling a 5

Answer 1

Given:

A 6-sided die was rolled 2 times.

Required:

Find the probability of rolling a 4 and then rolling a 5​.

Explanation:

The total number of outcomes on the die = 1, 2, 3, 4, 5, 6 = 6

The possible outcomes of 4 = 1

The possible outcomes of 5 = 1

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

Probability of getting 4 is:

$P(4)=\frac{1}{6}$

Probability of getting 5 is:

$P(5)=\frac{1}{6}$

Since both events are independent of each other.

So the probability of rolling a 4 and then rolling a 5​ is:

$\begin{gathered} P=\frac{1}{6}\times\frac{1}{6} \\ P=\frac{1}{36} \end{gathered}$

Final Answer:

The probability of rolling a 4 and then rolling a 5​ is

$\frac{1}{36}$