Find the probability of choosing an item from the intersection of the following sets:

Question

Find the probability of choosing an item from the intersection of the following sets:

   Set A : {79, 82, 83, 94, 99, 105}

   Set B : {75, 79, 83, 99, 101}

Answer 1

To solve this problem, we need to answer two questions:

1) How many numbers are in both Set A and Set B?

2) How many unique numbers are there?

So, for the first question, we can see that 79, 83, and 99 are in both sets. That means they have 3 terms in common (otherwise known as 3 terms in the intersection of the sets).

For the second question, we can identify all of the unique numbers: 75, 79, 82, 83, 94, 99, 101, 105. If count them out, there are 8 terms in this list.

So the probability of choosing an item from the intersection of the sets is the the number of common terms divided by the total number of unique numbers.

P = 3/8 = 0.375

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