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About Chanda Walker
Expertise
I can answer word problems involving mathematics at the high school and college level. I particularly enjoy calculus word problems. Please don't just type the math problem without comments. If you don't tell me what problem your having, I can't help.

Experience
Have done word problems as a tutor and as a student of mathematics and physics for years.

Organizations
Sigma Xi

Education/Credentials
Optical Science PhD

Past/Present Clients
I've answered hundreds of questions here at AllExperts.com in algebra, physics and general math sections.

 
   

You are here:  Experts > Science > Math for Kids > Word Problems > word problem

Word Problems - word problem


Expert: Chanda Walker - 3/23/2009

Question
QUESTION: Jane has a bag containing a mix of seeds for purple flowers, yellow flowers and orange flowers in the ratio of 1:1:2, respectively. There is a total of 16 seeds in the bag. Jane randomly sprinkles 3 seeds in a garden. If each of the seeds sprinkled successfully produces 1 flower, what is the probability that there are 2 purple flowers and 1 yellow flower produced? Express your answer as a common fraction.

I know the p(purple) = 4/16, p(yellow)= 4/16, and p(orange)=8/16 since the ratio is 1:1:2.  Correct?  Then, is the probability of 2 purple and 1 yellow (since order does not matter) 4/16 x 3/15 x 4/16 or 1/80?  Thank you for your help.

ANSWER: 16 seeds in the bag so 16 is our denominator.

There are 4 purple, 4 yellow and 8 orange.

Not quite right . . .

(4/16) * (3/15) * (4/12) = (1/4)*(1/5)*(1/3) = 1/60

---------- FOLLOW-UP ----------

QUESTION: Wait...I'm still confused with 4/12. Aren't there 14 seeds still left in the bag?  How did you get that? If you choose the yellow one first, does it change the answer?

Answer
sorry!  My little one got a skinned knee in the middle of working this problem and I totally lost my train of thought.

You're right, just a typo.

(4/16) * (3/15) * (4/14) = (1/4)*(1/5)*(2/7) = 2/140 = 1/70

If you choose the yellow first you get

(4/16)*(4/15)*(3/14) which gives the same answer.

The denominators stay the same, only the numerators move around but that doesn't change the answer.

But there are three ways to get this answer:  bby, byb, ybb so you have to multiply by 3.

3/70  

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