Question

A bag contains four red balls and eight yellow balls. The balls are identical except for the color. Five of the balls are randomly selected one at a time without replacement.
a. Find P(4 of the 5 are red) Show or explain your answer.
c. What is the probability that the colors of the selected balls, in order, are yellow - red - yellow - red - yellow?

Answer 1

what are you supposed to do exactly?

Answer 2

find the probability that 4 out of 5 balls are red when 5 are drawn without replacement

Answer 3

For question c, you have to split up the probabilities into individual steps. For the first choice, the probability of selecting a yellow ball is 8/12, or 2/3. The probability of choosing a red ball second is then 4/11. Next, the probability of choosing a yellow ball third is 7/10. The probability of choosing a red ball after that is 3/9, or 1/3. Finally, the probability of choosing a yellow ball after that is 6/8, or 3/4. To determine the overall probability, you simply multiply these probabilities together. Thus, the overall probability is 2/3*4/11*7/10*1/3*3/4=7/156

Answer 4

to find the answer to part a, you do the exact same thing as for part c. Take the probabilities step by step, and then multiply them all together.

Answer 5

well, how would u set it up for a?

Answer 6

see above.