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) What is the probability of winning a $20,000 bonus? (Type a decimal or a fraction. Simplify your answer.) (B) What is the probability of winning the maximum bonus by drawing out all the bills from the box? (Type a decimal or a fraction. Simplify your answer.) (C) What is the probability of the game stopping at the third draw? (Type a decimal or a fraction Simplify your answer.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 115CM
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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) What is the probability of winning a $20,000 bonus?
(Type a decimal or a fraction. Simplify your answer.)
(B) What is the probability of winning the maximum bonus by drawing out all the bills from the box?
Type a decimal or a fraction. Simplify your answer.)
(C) What is the probability of the game stopping at the third draw?
Type a decimal or a fraction Simplify your answer.)
Transcribed Image Text: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) What is the probability of winning a $20,000 bonus? (Type a decimal or a fraction. Simplify your answer.) (B) What is the probability of winning the maximum bonus by drawing out all the bills from the box? Type a decimal or a fraction. Simplify your answer.) (C) What is the probability of the game stopping at the third draw? Type a decimal or a fraction Simplify your answer.)
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