Page 38 - Probability Demystified

P. 38

CHAPTER 2 Sample Spaces 27

Fig. 2-4.

The sample space consists of six outcomes, which are RB, RY, BR, BY,
1
YR, YB. Each outcome has a probability of :
6

PRACTICE

1. If the possible blood types are A, B, AB, and O, and each type can be
þ

Rh or Rh , draw a tree diagram and ﬁnd all possible blood types.
2. Students are classiﬁed as male (M) or female (F), freshman (Fr),
sophomore (So), junior (Jr), or senior (Sr), and full-time (Ft) or part-
time (Pt). Draw a tree diagram and ﬁnd all possible classiﬁcations.

3. A box contains a $1 bill, a $5 bill, and a $10 bill. Two bills are selected
in succession with replacement. Draw a tree diagram and ﬁnd the
sample space. Find the probability that the total amount of money
selected is
a. $6.
b. Greater than $10.
c. Less than $15.
4. Draw a tree diagram and ﬁnd the sample space for the genders of the
children in a family consisting of 3 children. Assume the genders are
equiprobable. Find the probability of
a. Three girls.
b. Two boys and a girl in any order.
c. At least two boys.
5. A box contains a white marble (W), a blue marble (B), and a green
marble (G). Two marbles are selected without replacement. Draw a
tree diagram and ﬁnd the sample space. Find the probability that one
marble is white.

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