SOLUTION: A small burger joint sells on average 71 beef burgers, 58 chicken burgers, and 26 vegetable burgers on any given day. What is the probability that the first chicken burger sold on

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: A small burger joint sells on average 71 beef burgers, 58 chicken burgers, and 26 vegetable burgers on any given day. What is the probability that the first chicken burger sold on       Log On


   

Question 1155267: A small burger joint sells on average 71 beef burgers, 58 chicken burgers, and 26 vegetable burgers on any given day. What is the probability that the first chicken burger sold on a given day is the fourth or fifth burger sold?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


P(first chicken burger is the 4th sold) = P(1st AND 2nd AND 3rd are NOT chicken AND 4th is)

%28%2897%2F155%29%5E3%29%2858%2F155%29

P(first chicken burger is the 5th sold) = P(1st AND 2nd AND 3rd AND 4th are NOT chicken AND 5th is)

%28%2897%2F155%29%5E4%29%2858%2F155%29

You can do the calculations and express the answer in any form you want.

Note my interpretation of the given numbers is that 97 of every 155 burgers sold are beef or vegetable and 58 of every 155 are chicken, so the probability of any given burger being chicken is 58/155 and the probability of its being beef or vegetable is 97/155.

Changing the probabilities as burgers are sold seems unreasonable, since it would suggest that there are EXACTLY 58 chicken burgers and EXACTLY 97 beef or vegetable burgers sold each day.