A total 46 men have served as president of U.S. Find the probability that if 46 were selected at random, at least two have the same birthday.

A = {2, 3, 4, 5) B=(4, 5, 6, 7, 8) Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?

If 1 subject is randomly selected from the 555 subjects given a drug test, find the probability of selecting a subject who had a positive test result or uses drugs.   ​ Positive Test Result​ (Test shows drug use)​ Negative Test Result​ (Test shows no drug use)​ Subject Uses Drugs​ 45​ (True Positive)​ 5​ (False Negative)​ Subject Does Not Use Drugs​ 25​ (False Positive)​ 480​ (True Negative)​

Suppose 4 letters from a sign reading "Montreal" fell on the street. A mathematician find the 4 letters and randomly place them back on the sign (each of them on a spot where a letter fell off). What is the probability the sign reads "Montreal"?