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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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