[5/6] What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is

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What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled.

2/6

4/6

5/6

3/6

Explanation:

Let the event of the occurrence of a number that is odd be ‘A’ and the event of the occurrence of a number that is less than 5 be ‘B’. We need to find P(A or B).
P(A) = 3/6 (odd numbers = 1,3 and 5)
P(B) = 4/6 (numbers less than 5 = 1,2,3 and 4)
P(A and B) = 2/6 (numbers that are both odd and less than 5 = 1 and 3)
Now, P(A or B)= P(A) + P(B) – P(A or B)
= 3/6 + 4/6 – 2/6
P(A or B) = 5/6.

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