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.