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​.

Step-by-step 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)=(1)/(6)`

Probability of getting 5 is:

`P(5)=(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=(1)/(6)*(1)/(6) \\ P=(1)/(36) \end{gathered}`

Final Answer:

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

`(1)/(36)`