The probability of rolling a '4' or a '6' on one toss of a standard six-sided die is

Solution:

Given, a standard six-sided die is tossed once

We have to find the probability of rolling a ‘4’ or a ‘6’

Probability = favourable outcomes / total outcomes

When a die is tossed, possible outcomes are {1,2,3,4,5,6}

Favourable outcomes = {4,6} = 2

Total outcomes = 6

P(4 or 6) = 2 / 6

= 1 / 3

Therefore, the probability of rolling a ‘4’ or a ‘6’ is 1 / 3

Example:  The probability of rolling a '3' or a '5' on one toss of a standard six-sided die is

Solution:

Given, a standard six-sided die is tossed once

We have to find the probability of rolling a ‘3’ or a ‘5’

Probability = favourable outcomes / total outcomes

When a die is tossed, possible outcomes are {1,2,3,4,5,6}

Favourable outcomes = {3,5} = 2

Total outcomes = 6

P(3 or 5) = 2/6

= 1/3

Therefore, the probability of rolling a ‘3’ or a ‘5’ is 1/3

The probability of rolling a '4' or a '6' on one toss of a standard six-sided die is

Summary:

The probability of rolling a '4' or a '6' on one toss of a standard six-sided die is 1/3.