Question 9 Listen You have a bag of 10 marbles. Two marbles are red, three marbles are white, and five marbles are black. Using the multiplication rule for dependent and in- dependent events, what are the probabilities for the following events? **HINT** Order matters With replacement n' Without replacement n! (n-r)! Order doesn't matter (+)- (n+r-1)! (n-1)!! (c)-- 111(115) Draw two red marbles without replacement. Draw a red marble and then a black marble without replacement. Draw a white marble and then a black marble with replacement. Draw two black marbles with replacement. a. b. 45 C. 3 20 d. 4

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Question 9
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You have a bag of 10 marbles. Two marbles are red, three marbles are white,
and five marbles are black. Using the multiplication rule for dependent and in-
dependent events, what are the probabilities for the following events?
**HINT**
Order matters
With replacement
n'
Without replacement
n!
(n-r)!
Order doesn't matter
(+)-
(n+r-1)!
(n-1)!!
(c)--
111(115)
Draw two red marbles
without replacement.
Draw a red marble and
then a black marble
without replacement.
Draw a white marble
and then a black marble
with replacement.
Draw two black marbles
with replacement.
a.
b.
45
C.
3
20
d.
4
Transcribed Image Text:Question 9 Listen You have a bag of 10 marbles. Two marbles are red, three marbles are white, and five marbles are black. Using the multiplication rule for dependent and in- dependent events, what are the probabilities for the following events? **HINT** Order matters With replacement n' Without replacement n! (n-r)! Order doesn't matter (+)- (n+r-1)! (n-1)!! (c)-- 111(115) Draw two red marbles without replacement. Draw a red marble and then a black marble without replacement. Draw a white marble and then a black marble with replacement. Draw two black marbles with replacement. a. b. 45 C. 3 20 d. 4
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