SOLUTION: jan would like to hang 19 of her favorite photo's on a wall in her room, but she has room for only 9. One of the photo is a picture of her grandma. If Jan makes her selection at ra

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Question 201767: jan would like to hang 19 of her favorite photo's on a wall in her room, but she has room for only 9. One of the photo is a picture of her grandma. If Jan makes her selection at random, what are the probability that she will pick the picture of her grandma?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
jan would like to hang 19 of her favorite photo's on a wall in her room, but she has room for only 9. One of the photo is a picture of her grandma. If Jan makes her selection at random, what are the probability that she will pick the picture of her grandma?
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Find the number of sets of 9 photos that DO NOT have grandma's photo
in the set. : 18C9 = 48620
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Find the total number sets of 9 photos. : 19C9 = 92378
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So the number of sets of size 9 that DO HAVE grandma's photo
is 92378-48620 = 43758
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So the probability she will pick grandma's photo is 43758/92378 = 0.4737..
Cheers,
Stan H.