41 % of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Four people buy raffle tickets and place all of their tickets into a hat.  Raphael bought 8 tickets, Leonardo bought 3 tickets, Michelangelo bought 4 tickets, and Donatello bought 14 tickets.  If a person randomly selects one raffle ticket from the hat, what is the probability that Raphael purchased the ticket?  Write your answer as a decimal and round three decimal places.

Q: A box contains Seven marbles. Three of them are red and Four are blue. What is the probability of choosing a blue one provided that you have already chosen a blue one?

On the last day of a Shakespeare class, an English teacher asked her students which play they liked the best. She made a table of the results.   Hamlet 11 Macbeth 4 Twelfth Night 1 Romeo and Juliet 6     What is the probability that a randomly selected Shakespeare student likes Hamlet best? Write your answer as a fraction or whole number.   P(Hamlet) =