An urn contains 2 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill.

An urn contains 3 one-dollar bills, 1​ five-dollar bill and 1​ ten-dollar bill. A player draws...

An urn contains 3 one-dollar bills, 1​ five-dollar bill and 1​ ten-dollar bill. A player draws bills one at a time without replacement from the urn until a​ ten-dollar bill is drawn. Then the game stops. All bills are kept by the player.​ Determine: ​(A)  The probability of winning ​$10. ​(B)  The probability of winning all bills in the urn. ​(C)  The probability of the game stopping at the second draw

If a salesperson has gross sales of over​ $600,000 in a​ year, then he or she...

If a salesperson has gross sales of over​ $600,000 in a​ year, then he or she is eligible to play the​ company's bonus​ game: A black box contains 2 ​one-dollar bills, 1​ five-dollar bill and 1​ twenty-dollar bill. Bills are drawn out of the box one at a time without replacement until a​ twenty-dollar bill is drawn. Then the game stops. The salesperson's bonus is​ 1,000 times the value of the bills drawn. Complete parts​ (A) through​ (C) below. (A)...

An urn contains nine $1 bills and one $20 bill. Let the random variable X be...

An urn contains nine $1 bills and one $20 bill. Let the random variable X be the total amount that results when two bills are drawn from the urn without replacement. (a) Describe the sample space S of the random experiment and specify the brobabilities of its elementary events. (b) Show the mapping from S to Sx, the range of X. (c) Find the prababilities for the various valuses of X. (d) What is the prabability that the amount is...

A box contains 4 one-dollar bills and 3 five-dollar bills. You choose six bills at random...

A box contains 4 one-dollar bills and 3 five-dollar bills. You choose six bills at random and without replacement from thte box. Let X be the amount you get. What is Var(X)?

A boy has his allowance determined every Sunday by drawing one paper bill from an urn...

A boy has his allowance determined every Sunday by drawing one paper bill from an urn containing 5 bills in total: three $1 bills, one $5 bill, and one $10 bill. $1 $1 $1 $5 $10. His parents refill the urn every week, so the content of the urn stays the same every week. (a) (4pts) Let A be the event that the student draws the ten-dollar bill this Sunday, and B be the event that the student draws the...

A bag contains six 1 dollar bills, three 5 dollar bills, and two 10 dollar bills....

A bag contains six 1 dollar bills, three 5 dollar bills, and two 10 dollar bills. An experiment consists of drawing three random bills from the bag simultaneously. Thus, the experiment has C(11,3)=165 equally likely outcomes in its sample space. What is the probability that at most one 5 dollar bill was drawn, given that no 10 dollar bills were drawn?

1. An urn contains two red, one purple, and two green marbles. Two marbles are randomly...

1. An urn contains two red, one purple, and two green marbles. Two marbles are randomly drawn in succession without replacement. Determine the probability that the first marble is green and the second is red. 2. An urn contains two red, two purple, and two green marbles. Two marbles are randomly drawn in succession without replacement. Determine the probability that both marbles are red.

An urn contains 15 white and 21 black balls. Balls are drawn one by one, without...

An urn contains 15 white and 21 black balls. Balls are drawn one by one, without replacement, until 6 white balls are drawn. Find an expression for the probability that the total number of balls drawn is x.

An urn contains 12 white and 21 black balls. Balls are drawn one by one, without...

An urn contains 12 white and 21 black balls. Balls are drawn one by one, without replacement, until 4 black balls are drawn. Find an expression for the probability that the total number of balls drawn is x.

An urn contains ten marbles, of which 4 are green, 3 are blue, and 3 are...

An urn contains ten marbles, of which 4 are green, 3 are blue, and 3 are red. Three marbles are to be drawn from the urn, one at a time without replacement. (a) Let ?? be the event that the ?th marble drawn is green. Find ?(?1 ∩ ?2 ∩ ?3), which is the probability that all three marbles drawn are green. Hint: Use the Multiplicative Law of Probability (b) Now let ?? be the random variable defined to be...