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:
[tex]p(red)=\frac{8}{15}\approx0.5333[/tex]
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:
[tex]N_{red}=N*p(red)=300*\frac{8}{15}=160[/tex]
Answer:
a) p(red) = 8/15
b) 160 times
