A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Solution:

Let A be the event of occurrence of an odd number

Let B be the event of occurrence of a number less than 3

Possible outcomes = 6

Sample space S = {1, 2, 3, 4, 5, 6}

odd numbers = {1, 3, 5}

numbers less than 3 = {1,2}

odd numbers and numbers less than 3 = {1,2}

In this case, Probability (A or B) should be found

P (A) = 3/6

P (B) = 2/6

P (A and B) = 2/6

P (A or B) = P (A) + P (B) - P (A and B)

Substituting the values

= 3/6 + 2/6 - 2/6

= 3/6

=1/2

Therefore, the probability of rolling an odd number or a number less than 3 is 1/2

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A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Summary:

A fair die is rolled. The probability of rolling an odd number or a number less than 3 is 1/2