Question

A jar contains 12 white chocolate chips, 27 milk chocolate chips, and 11 dark chocolate chips. Brooke picks out chocolate chips one at a time. She records the type of chocolate chip and puts it back before the next pick. How many milk chocolate chips should Brooke expect in 1000 picks?

A) 220
B) 240
C) 510
D) 540

Answer 1

To calculate the number of milk chocolate chips Brooke should expect in 1000 picks, we need to determine the probability of picking a milk chocolate chip in each pick and multiply it by 1000. Therefore, Brooke should expect to pick 540 milk chocolate chips in 1000 picks.

Step-by-step explanation:

To calculate the number of milk chocolate chips Brooke should expect in 1000 picks, we need to determine the probability of picking a milk chocolate chip in each pick. There are 27 milk chocolate chips out of a total of 50 chips in the jar (12 white + 27 milk + 11 dark). Therefore, the probability of picking a milk chocolate chip in one pick is 27/50 or 0.54.

Since each pick is independent and the chips are replaced after each pick, we can use the concept of expected value to calculate the number of milk chocolate chips Brooke should expect in 1000 picks. Expected value is calculated by multiplying the probability of an event by the number of times that event is expected to occur. In this case, the expected number of milk chocolate chips in 1000 picks is 0.54 * 1000 = 540.

Therefore, Brooke should expect to pick 540 milk chocolate chips in 1000 picks. So, the correct answer is D) 540.