Suppose we have an experiment and the sample space is S 100

Suppose we have an experiment and the sample space is S = {100, 200, 300, 400, 500}. Further suppose we are interested in the event of getting a 100, 200, or 300 (that is A = {100, 200, 300} and the event of getting 100, 300, or 500 (that is B = {100, 300, 500}).  In this situation, what outcomes are in the event A and B?

{100, 300}

{100, 200, 300, 400, 500}

{100, 200, 300, 500}

? (the empty set)

Solution

A = {100, 200, 300}

B = {100, 300, 500}

A and B = {common to both A and B}

So, A and B = {100 , 300}

Option A