Problem 4 Study the special case of the "small world" problem called the "birthday problem" (http://en.wikipedia.org/wiki/Birthday_problem). Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is equally likely to have been born on any one of 365 days. a. If eight people are randomly selected, what is the probability that all have different birthdays? b. If eight people are randomly selected, what is the probability that at least two have the same birthday? c. Create a table for k people being randomly selected, from k = 2 to k = the smallest value for which there is at least a 50-50 chance that at least two people will have the same birthday. (you should use Excel)

Question 1 Let An be the event of rolling an even number with an n-sided fair die and Bn be the event of rolling a multiple of 3 with an n-sided fair die. Determine whether or not events An and Bn are independent for 6 and 8 sided dice.

Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms total

Question 24 Suppose we select one card from a standard deck of 52 What is the probability of selecting.... a face card Group of answer choices 1/13 3/13 1/52 None of the above 1/2       Question 25 Suppose we select one card from a standard deck of 52 What is the probability of selecting.... NOT a face card Group of answer choices 10/13 1/52 3/13 None of the above 3/4