Sarah tosses 5 coins, one after the other. a) How many different outcomes are possible? b) Draw a tree diagram to illustrate the different possibilities. c) In how many ways will the first coin turn up heads and the last coin turn up tails? d) In how many ways will the second, third, and fourth coins all turn up tails? e) Would the same possibilities arise in parts a), b), c), and d) if the five coins were thrown all at the same time.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Sarah tosses 5 coins, one after the other.
a) How many different outcomes are possible?
b) Draw a tree diagram to illustrate the different possibilities.
c) In how many ways will the first coin turn up heads and the last coin turn up tails?
d) In how many ways will the second, third, and fourth coins all turn up tails?
e) Would the same possibilities arise in parts a), b), c), and d) if the five coins were thrown all at
the same time.
Transcribed Image Text:Sarah tosses 5 coins, one after the other. a) How many different outcomes are possible? b) Draw a tree diagram to illustrate the different possibilities. c) In how many ways will the first coin turn up heads and the last coin turn up tails? d) In how many ways will the second, third, and fourth coins all turn up tails? e) Would the same possibilities arise in parts a), b), c), and d) if the five coins were thrown all at the same time.
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