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In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct?

In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct? Correct Answer A and B are mutually exclusive

Concept:

Probability of an event happening = (Number of ways it can happen) / (Total number of outcomes)

A die is thrown: Sample space S = {1, 2, 3, 4, 5, 6}

Two events are said to be mutually exclusive events when both do not have any common element.

 

Calculation:

A die is thrown:

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

Now, A is the event that an even number occurs,

A = {2, 4, 6}

B is the event that an odd number occurs

B = {1, 3, 5}

And C the event that a number greater than 3 occurs

C = {4, 5, 6}

Here, A and B have no element in common so, these events are mutually exclusive.

Hence, option (2) is correct.

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