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You must show all work on your paper to receive any credit for this problem!    Box 1 contains 4 black balls and 2 white balls. Box 2 contains 3 black balls and 2 white balls. A ball is drawn at random from Box 1, the color is recorded and the ball is then placed in Box 2.  Then a ball is drawn at random from Box 2 and the color recorded.   a.  Draw a complete tree diagram of this experiment.  Include probabilities along branch lines. b.  List all possible outcomes of the recordings of the colors of both balls ALONG WITH their probabilities.

Which of the following could possibly be the probability of an event? CHOOSE ALL THAT APPLY.

Decide is the number is a N, W, I, Q, S, and/or R.  Choose EVERY ONE that is true.  

Suppose 4 ​quarters, 6 ​dimes, 7 ​nickels, and 4 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the​ box? HINT:  Use 25 to represent a quarter (not 0.25).  Do the same for the other coins. [A]  ¢  Round to the nearest tenth of a cent

Convert to a decimal.  SHOW ALL WORK ON YOUR PAPER!  

Answer the following question involving ODDS. a.  A card is randomly drawn from a well-shuffled deck of 52 cards.  What are the odds against of drawing a card with an odd number on it?  (Aces DO NOT count as a 1) [a]  Type a SIMPLIFIED answer. b.  A pair of dice are rolled.  What are the odds in favor of rolling a sum of 6? [b]  Type a SIMPLIFIED answer. c.  The lottery has 40 balls (numbered 1 thru 40).  A ball is randomly drawn.  What are odds in favor of drawing a ball that has a number less than 18 on it? [c]  Type a SIMPLIFIED answer. d.  The odds against that I will be the winner of the next race are 9:5.  What is the probability that I will be the winner? [d]  Type a SIMPLIFIED answer. e.  The local kindergarten class has 21 students, of which 13 are girls.  If a student is randomly chosen, what are the odds in favor choosing a boy? [e]  Type a SIMPLIFIED answer.    

Answer the following question involving ODDS. a.  A pair of dice are rolled.  What are the odds against rolling a sum of 5? [a]  Type a SIMPLIFIED answer. b.  The odds in favor that I will be the winner of the next race are 9:5.  What is the probability that I will be the winner? [b]  Type a SIMPLIFIED answer. c.  The local kindergarten class has 19 students, of which 11 are girls.  If a student is randomly chosen, what are the odds against choosing a boy? [c]  Type a SIMPLIFIED answer. d.  A card is randomly drawn from a well-shuffled deck of 52 cards.  What are the odds in favor of drawing a card with an even number on it? [d]  Type a SIMPLIFIED answer. e.  The lottery has 40 balls (numbered 1 thru 40).  A ball is randomly drawn.  What are odds against drawing a ball that has a number greater than 13 on it? [e]  Type a SIMPLIFIED answer.

a.  What is the probability of an impossible event? P(impossible event) = [a]   b.  What is the probability of an event that is certain to occur?   P(certain event) = [b]  

A married couple have a  0.32 probability of passing on green eyes to their children.  If they have 8 children, what is the probability that at least one has green eyes? SHOW ALL WORK  ON YOUR PAPER!    NO WORK = NO POINTS Round your answer to 4 decimal places.

You draw a card from a standard deck of cards.   a.  What is the probability that your card is a Black Ace? [a]  Answer as a fraction in lowest terms. b.  What is the probability that your card is Diamond and a Face card? [b]  Answer as a fraction in lowest terms. c.  What is the probability that your card is Spade or a 2? [c]  Answer as a fraction in lowest terms. d.  What is the probability that your card is a 10 GIVEN THAT your card has an even number on it ? [d]  Answer as a fraction in lowest terms. e.  If you draw a card 4056 times, how many times would you expect to draw an Ace? [e]