A single die is rolled. Find the probability of rolling an odd number or a number less than 6.

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The sample space when rolling a die is S = {1, 2, 3, 4, 5, 6}

So n(S) = 6

Consider B as an event of getting an odd number 

B = {1, 3, 5}

n (B) = 3

So P (B) = n(B)/ n(S) 

Substituting the values

P(B) = 3/6 = 1/2

Consider C as an event of getting a number less than 6

C = {1, 2, 3, 4, 5}

n (C) = 5

So P (C) = n(C)/ n(S)

Substituting the values

P(C) = 5/6

Probability of rolling an odd number or a number less than 6 = 1/2 × 5/6 = 5/12 

Therefore, the probability of rolling an odd number or a number less than 6 is 5/12.

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A single die is rolled. Find the probability of rolling an odd number or a number less than 6.

Summary:

A single die is rolled. The probability of rolling an odd number or a number less than 6 is 5/12.