Question

A single die is rolled two times. What is the probability that the next roll will produce a number less than 3

Answer 1

First, we'll find the probability that a die is rolled only once.

There are 2 numbers that are less than 3, which are 1 and 2.

This makes the fraction 2/6, or simplified to 1/3.

The probability is 1/3.

Answer 2

`\frac{1}3`

Explanation:

When rolling a die successively, the probability of rolling a certain number(s) does not change because the die stays the same.

In this problem, we need to find the probability that a die roll will produce a number less than 3. First, we can list out those numbers:

all numbers:

• 1
• 2
• 3
• 4
• 5
• 6

numbers less than 3:

• 1
• 2

We can see that there are 6 total numbers and 2 numbers less than 3.

Therefore, we can represent the probability of rolling a number less than 3 as:

`(2)/(6)`

`\boxed{=\frac{1}3}`