You must show all work on your paper to receive any credit f…

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.

Suppose 4 ​quarters, 6 ​dimes, 7 ​nickels, and 4 pennies are…

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

Answer the following question involving ODDS. a.  A card is…

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…

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.

You draw a card from a standard deck of cards.   a.  What is…

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]