Joyce removes the pennies from her purse. Now her bag contains 12 nickels, 26 dimes, and 14 quarters. She draws three coins from the purse (one at a time without replacement). Draw a tree diagram that represents Joyce's actions and label the probabilities on the branches. 1. 2. 3. 4. What is the probability that Joyce gets a dime on the first draw? What is the probability that Joyce gets a dime on the second draw, given she got a dime on the first draw? What is the probability that Joyce gets a dime on the third draw, given she got a nickel on the first draw and a quarter on the second draw? What is the probability that Joyce gets a dime on the first draw, a nickel on the second draw, and a quarter on the third draw?
Joyce removes the pennies from her purse. Now her bag contains 12 nickels, 26 dimes, and 14 quarters. She draws three coins from the purse (one at a time without replacement). Draw a tree diagram that represents Joyce's actions and label the probabilities on the branches. 1. 2. 3. 4. What is the probability that Joyce gets a dime on the first draw? What is the probability that Joyce gets a dime on the second draw, given she got a dime on the first draw? What is the probability that Joyce gets a dime on the third draw, given she got a nickel on the first draw and a quarter on the second draw? What is the probability that Joyce gets a dime on the first draw, a nickel on the second draw, and a quarter on the third draw?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Joyce removes the pennies from her purse. Now her bag contains 12 nickels, 26
dimes, and 14 quarters. She draws three coins from the purse (one at a time without
replacement).
Draw a tree diagram that represents Joyce's actions and label the probabilities on the
branches.
1.
2.
3.
4.
5.
6.
7.
8.
What is the probability that Joyce gets a dime on the first draw?
What is the probability that Joyce gets a dime on the second draw, given she
got a dime on the first draw?
What is the probability that Joyce gets a dime on the third draw, given she got
a nickel on the first draw and a quarter on the second draw?
What is the probability that Joyce gets a dime on the first draw, a nickel on the
second draw, and a quarter on the third draw?
What is the probability that Joyce gets a dime, nickel, and quarter?
What is the probability that Joyce gets all quarters?
What is the probability that Joyce gets all pennies?
What is the probability that Joyce gets three of the same type coin?
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