In games of the KENO or LOTTO style, the bettorselects numbers from a fixed set. Then the game operator selectsanother set of numbers, and the bettor wins according to the numberof matches.
a.?Suppose that the game uses the numbers 1 through 50, andsuppose that the operator selects eight of these. If the bettorselects five numbers, find the probability that there are exactlyfive matches. HINT: Think Hypergeometric
b.?Suppose that the game uses the numbers 1 through 50, andsuppose that the operator selects ten of these. If the bettorselects five numbers, find the probability that there are exactlyfive matches. Also note whether this probability is larger orsmaller than the probability in a.
c.?Suppose that the game uses the numbers 1 through 50, andsuppose that the operator selects ten of these. If the bettorselects six numbers, find the probability that there are exactlysix matches. Note whether the probability here is larger or smallerthan the probability in b.
