SOLUTION: 3. A fruit basket contains five red apples and three green apples. Without looking, you randomly select two apples. What is the probability that a) You will select two red apple

Algebra ->  Probability-and-statistics -> SOLUTION: 3. A fruit basket contains five red apples and three green apples. Without looking, you randomly select two apples. What is the probability that a) You will select two red apple      Log On


   



Question 305950: 3. A fruit basket contains five red apples and three green apples. Without looking, you randomly select two apples. What is the probability that
a) You will select two red apples?
b) You will not select two green apples?
Textbook answers: 3.a)5/14 and 3.b) 25/28

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5 red apples, 3 green apples, 8 total.
P(first red)=(5/8)
P(second red)=(4/7)
P(2 reds)=(5/8)(4/7)=5/14.
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Let's find the probability you choose 2 green apples.
Then we'll use that to calculate the probability of not getting two greens.
P(first green)=3/8
P(second green)=2/7
P(2 greens)=(3/8)(2/7)=3/28
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P(not 2 greens)+P(2 greens)=1
P(not 2 greens)=1-P(2 greens)
P(not 2 greens)=28/28-3/28
P(not 2 greens)=25/28