SOLUTION: Hello having some issues with this section. Can you please help? There are 40 people in a room. 23 are wearing jeans, 17 are wearing a T-shirt, and 12 are wearing both jeans an

Question 729684: Hello having some issues with this section. Can you please help?
There are 40 people in a room. 23 are wearing jeans, 17 are wearing a T-shirt, and 12 are wearing both jeans and a T-shirt. If a person is selected at random , then find the probability that they are wearing jeans, but not a T-shirt.
Answer in FRACTION FORM. Reduce.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 40 people in a room. 23 are wearing jeans, 17 are wearing a T-shirt, and 12 are wearing both jeans and a T-shirt.
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Draw a Venn diagram of a rectangle with 2 intersecting circles
inside. Label the rectangle "40"
Label the intersection "12".
Label the Jean's circle as 23-12 = 11
Label the T-shirt circle as 17-12 = 5
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If a person is selected at random , then find the probability that they are wearing jeans, but not a T-shirt.
Ans: 11/40
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Cheers,
Stan H.

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