In: Statistics and Probability
1. In the game of poker, five cards from a standard deck of 52 cards are dealt to each player.
Assume there are four players and the cards are dealt five at a time around the table until all four
players have received five cards.
a. What is the probability of the first player receiving a royal flush (the ace, king, queen, jack, and
10 of the same suit).
b. What is the probability of the second player receiving a royal flush?
c. If the cards are dealt one at a time to each player in turn, what is the probability of the first
player receiving a royal flush?
2. Your spam filter has noticed that you identify
60% of the email coming to you as “junk email”
and it has kept an internal tabulation that the word “amazing” occurs in 0.2% of your junk email
and in 0.125% of all email. Your filter will identify a piece of email as junk if it calculates the
probability of it being junk at 75% or higher. If
you receive a piece of email with the phrase
“amazing money-making opportunity”, will your filter classify it as junk email?