Question

A single die is rolled one time. Find the probability of rolling a number greater than 3 or less than 2?

1) 1/6
2) 1/3
3) 1/2
4) 2/3

Answer 1

The probability of rolling a number greater than 3 or less than 2 on a single die roll is 4/6, which simplifies to 2/3, corresponding to option 4.

Step-by-step explanation:

The question asks us to find the probability of rolling a die and getting a number greater than 3 or less than 2. In a fair six-sided die, the possible outcomes are 1, 2, 3, 4, 5, 6. Numbers greater than 3 are 4, 5, and 6. Only one number is less than 2, which is 1. So, the favorable outcomes for our event are {1, 4, 5, 6}. There are four favorable outcomes out of a total of six possible outcomes.

To find the probability of an event, we divide the number of favorable outcomes by the total number of outcomes. Therefore, the probability is 4/6 which simplifies to 2/3. Hence, the correct answer is option 4) 2/3.