MA 110-07
§3.4-3.6 Quiz #6 score
Name:
27 March 2001
1. There are 6 red marbles and 8 green marbles in a jar. Three marbles are selected at
random. What is the probablility that all three of the selected marbles are red? (7 points)
2. You and a one of your closest math friends make up a game. Your opponent pays you $1
to play. Then the opponent rolls two dice. If the sum is 6 or less, you pay them nothing.
If the sum is between 7 and 11 (inclusive), you pay them $1.25; if 12 you pay them $5.00.
What are the expected winnings per game for your opponent? (7 points)
3. If two cards are dealt from a standard 52-card deck of cards, find the probability that the
second card is a heart given that the first card is a heart. (6 points)