Question

The Venn diagam represents the

information from the following sets.
= {Prime numbers less than 38}
R = {2, 3, 5, 17, 19, 37}
S = {3, 5, 7, 11, 13, 37}
R
17 5
2
19 37
3/13
S
11
231 23
Find P(RUS)
P(RUS) =

Answer 1

Answer: 3/4

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Step-by-step explanation:

The U refers to set union. We combine the elements of set R and set S together in one big set. Toss out any duplicates. Sorting the items is optional, but I recommend it.

R U S = {2, 3, 5, 17, 19, 37} U {3, 5, 7, 11, 13, 37}

R U S = {2, 3, 5, 17, 19, 37, 3, 5, 7, 11, 13, 37}

R U S = {2, 3, 5, 7, 11, 13, 17, 19, 37}

This list of values consist of items in set R, set S, or both.

There are 9 items in set R U S.

This is out of 12 items total in the universal set rectangle.

The probability of randomly selecting something from set R U S is 9/12 = 3/4