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3.5 Exercise 1

Avg difficulty 2.5

There are a total of 11 balls in the urn. Draw two balls, one at a time, with replacement. There are 11(11) = 121 outcomes, the size of the sample space.

a. List the 24 BR outcomes: B1R1, B1R2, B1R3, ...

b. Using the tree diagram, calculate P(RR).

c. Using the tree diagram, calculate P(RB OR BR).

d. Using the tree diagram, calculate P(R on 1st draw AND B on 2nd draw).

e. Using the tree diagram, calculate P(R on 2nd draw GIVEN B on 1st draw).

f. Using the tree diagram, calculate P(BB).

g. Using the tree diagram, calculate P(B on the 2nd draw given R on the first draw).

OpenStax Introductory Statistics 2e, 3.5 Tree and Venn Diagrams, exercise 1

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.