Use a Venn Diagram and the given information to determine the number of elements

Question

Use a Venn Diagram and the given information to determine the number of elements in the Indicated set. n(U) = 136, n(A) = 44, n(B) = 64, n(A Intersection B) = 17, n(A Intersection C) = 20, n(A Intersection B Intersection C) = 9, n(A' Intersection B Intersection C) = 38, and n(A' Intersection B' Intersection C) = 33. Find n(C). A) 23 B) 28 C) 12 D) 41 n(A Union B Union C) = 37, n(A Intersection B Intersection C) = 6, n(A Intersection B) = 14, n(A Intersection C) = 11, n(B Intersection C) = 9, n(A) = 31, n(B) = 18, and n(C) = 16. Find n(A' Intersection B Intersection C) A) 3 B) 4 C) 2 D) 5 Find the probability of the given event. A card drawn from a well-shuffled deck of 52 cards is an ace or a 7. A) 13/2 B) 2/13 C) 4/13 D)8 A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is not blue. A) 1/3 B) 3/2 C) 2/3 D) 6

Explanation / Answer

6) This is a case of independent event:

We need to define two event as A and B, like follow:

Let event A: the card is an Ace.

Let event B: the card is a 7

So, Probability = P(A) + P(B)

Probability = 4/52 + 4/52 = 8/52 = 2/13

B option.

7) 5 red, 3 blue, 1 green marble

Probability of not blue = 1 - Probability of blue

Probability of not blue = 1 - 3/9

Probability of not blue = 6/9 = 2/3 = 0.67

C option.

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