11. A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?
A. 10/27
B. 5/91
C. 5/98
D. 93/182
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OpenStudy (nikato):
after someone picks the fruit, do they put it back in or leave it out?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
leave it out
OpenStudy (nikato):
can you find the probability that jack will pick a peach?
OpenStudy (anonymous):
I hardly know probabilities. :( 5/14?
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OpenStudy (nikato):
thats not true^
and you are right! its is 5/14. there are a total of 14 fruits and only 5 are peaches so you are right, 5/14
so whats the probability of getting an orange now that you have one less fruit in the basket?
OpenStudy (anonymous):
2/13?
OpenStudy (nikato):
yes
and now multiply them together
whats 5/14 x 2/13?
OpenStudy (anonymous):
OOOOOOHHHH It's 5/91
OpenStudy (nikato):
YES!
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OpenStudy (anonymous):
:D Thanks for going over this with me!!
OpenStudy (nikato):
yup. no problem. you actually knew most of it. just needed a little assistance