A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 5.

A) 1 3

B) 1 4

C) 1 6

D) 1

Answer the correct option is D

Step-by-step explanation:

The die has six sides. The numbers on each side are 1, 2, 3. 4, 5 and 6. This means that the total number of possible outcomes is 6

The numbers greater than 2 are 3, 4, 5 and 6. It means that there are four numbers out of 6 that are greater than 2. So the probability of rolling a number greater than 2 is 4/6 = 2/3.

Again, the numbers lesser than 5 are 1,2,3 and 4. there are 4 numbers. So the probability of rolling a number lesser than 5 is 4/6 = 2/3

But both probabilities are mutually non exclusive. It means that 3 and 4 is common. The probability of rolling a 3 and a 4 = 1/6 + 1/6 = 2/6 = 1/3.

Therefore, the probability of rolling a number greater than 2 or less than 5 would be 2/3 + 2/3 - 1/3 = 3/3 = 1