Question 8.40

9. Consider flipping a dime, nickel, and penny.

  1. Why would a tree diagram be a more convenient way than a table to represent the sample space?
  2. Make a tree diagram, and then use it to write out the sample space.
  3. Use the diagram to find the probability that at least one of the three coins lands on heads.

9.

(a) It is usually easier to add further branching to a tree than further dimensions to a table.

A-21

Table 8.20: Table of Random Digits
101 19223 95034 05756 28713 96409 12531 42544 82853
102 73676 47150 99400 01927 27754 42648 82425 36290
103 45467 71709 77558 00095 32863 29485 82226 90056
104 52711 38889 93074 60227 40011 85848 48767 52573
105 95592 94007 69971 91481 60779 53791 17297 59335

(b)

image

(c) There are seven out of the eight outcomes that yield at least one of the three coins landing on heads. Thus, the probability of at least one of the three coins landing on heads is .