Respuesta :

Answer:

[tex]\dfrac{1}3[/tex]

Step-by-step 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:

[tex]\dfrac{2}{6}[/tex]

[tex]\boxed{=\dfrac{1}3}[/tex]

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.