If in a small poker party it is required that guest bring either a bag of M&M's or a bag of Cereal, what is the answer to the following:
a) How many M&M's are expected if there is a 50% chance that the guests bring M&M's?
b) What is the probability that there at least 2 bags of cereal?
In the poker party guests are required to bring either a bag of M&Ms or a bag of Cereal.
It is given that there is a 50% chance that the guests bring M&Ms but the number of guests arriving is not mentioned. This does not allow one to calculate the number of M&Ms that can be expected though if there are a total of N guests coming to the party, there is a high probability that the number of M&Ms is N/2.
The same problem arises with estimating the probability that there are at least 2 bags of cereal. Though it can be said that as the number of guests increases, there is an increase in the probability that at least 2 bags of cereal are brought in by them.