Question

Lie is rolling a random number cube. The cube had six sides, and each side is labeled with a different number 1 through 6. What is the probability that he will roll a 5 and then a 3 in two rolls?

Answer 1

Answer:

$\frac{1}{36}$

Step-by-step explanation:

We will find the probability of rolling a 5 and then probability of rolling a 3 and then multiply the numbers to get the probability that he will roll a 5 and then a 3 in two rolls.

There are 6 total possibilities (1 through 6).

There are one 5s, so the probability of rolling a 5 would be:

P(roll 5) = 1/6

Also, there is one 3, so rolling a 3 would have the same probability.

P(roll 3) = 1/6

Hence,

Probability of rolling a 5 and then a 3 is:

P(5,3) = 1/6 * 1/6 = 1/36