Question

In: Statistics and Probability

1. In the game of poker, five cards from a standard deck of 52 cards are...

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?

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