Question

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

Answer #1

An urn contains 2 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 $17. ?(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 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 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 and without replacement from thte box.
Let X be the amount you get. What is Var(X)?

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 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...

In a certain lottery, an urn contains balls numbered 1 to 33.
From this urn, 4 balls are chosen randomly, without replacement.
For a $1 bet, a player chooses one set of four numbers. To win,
all four numbers must match those chosen from the urn. The order in
which the balls are selected does not matter. What is the
probability of winning this lottery with one ticket?

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. 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?

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.

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