Question

23. Taylor has a bag containing 15 counters. The table below shows the number of counters of each color in the bag. As a part of a probability experiment for science club, Taylor randomly picks a counter fromthe bag then replaces it. She repeats this 300 times.Counter ColorsWhiteRedNumber of Counters In The Bag38Blue3BlackPart ATaylor randomly picks a counter out of the bag. What is the probability that it will be red?Show your work and explain your answer.Part BPredict the number of times out of 300 Taylor will pick a red counter.

Answer 1

A) We have to calculate the probability of picking a red counter.

As the counters are replaced, the probability for each color is constant.

We have 15 counters from which 8 are red.

Then we can calculate the probability of picking a red as:

`p(red)=(8)/(15)\approx0.5333`

B) As this probability is constant, there is a probability of 8/15 of picking a red counter each draw.

As there are N = 300 picks, we can expect the number of red counters picked as:

`N_(red)=N*p(red)=300*(8)/(15)=160`

Answer:

a) p(red) = 8/15

b) 160 times