bealiberty47
  • bealiberty47
A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probability. Write the probability as a fraction in the simplest form. A. Find the theoretical probability of selecting a pink rubber band. B. Find the theoretical probability of selecting a brown rubber band. C.You repeatedly choose a rubber band from the box, record the color, and put the rubber band back in the box. The results are shown in the table below. Find the experimental probability of each color based on the table. Please explain how you got the answer
Mathematics
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SOLVED
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chestercat
  • chestercat
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bealiberty47
  • bealiberty47
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  • bealiberty47
@mathmate
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  • bealiberty47
@SithsAndGiggles @Luigi0210 @zepdrix

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kropot72
  • kropot72
\[\large P(pink)=\frac{number\ of\ pink\ bands}{toal\ number\ of\ bands}\] You then need to see if the fraction can be simplified.
kropot72
  • kropot72
total*
bealiberty47
  • bealiberty47
95/185 simplified to 19/37 ?
kropot72
  • kropot72
Good work! You are correct. P(brown) = (total number of brown) / (total number of bands)
bealiberty47
  • bealiberty47
90/185 simplified to 18/37 right?
kropot72
  • kropot72
Correct again! For part C, find the total number of occurrences ( pink + brown). The experimental probabilities are: P(pink) = (number of pink occurrences) / (total number of occurrences) P(brown) = (number of brown occurrences) / (total number of occurrences)
bealiberty47
  • bealiberty47
69 total occurrences 36/69 33/69 Are occurrences the amount of times the rubber bands were picked out?
kropot72
  • kropot72
Yes. You are correct, but the fractions need to be simplified.
bealiberty47
  • bealiberty47
Pink: 12/23 Brown: 11/23
kropot72
  • kropot72
Both answers are correct. Good work!
bealiberty47
  • bealiberty47
Thank you so much! Can you help me with one more question?
kropot72
  • kropot72
You're welcome :) Sorry I must log out now.
bealiberty47
  • bealiberty47
Thanks anyhow. You helped me allot! :)

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