A container contains 1 blue ball, 2 red, and 3 orange balls. Tabulate a sample space for the following experients.

Question

A container contains 1 blue ball, 2 red, and 3 orange balls. Tabulate a sample space for the following experiments.

 

a. A single ball is drawn

 

b. When a red ball is drawn

 

c. A ball is drawn and pocketed. A second ball is drawn and pocketed. (use a tree diagram)

 

d. A ball is drawn, its color is recorded, and it is replaced in the jar. A second ball is drawn

Answer 1

1 blue 2 red 3 orange balls in 1 container

1b, 2r, 3o

sample space

a) if one ball is drawn: b, r, o

b) if 1 red ball is drawn and only 1 draw: r

c) if 2 balls drawn, without replacement:

br, bo, (can't get bb, as there is only 1 blue ball)

rb, rr, ro,

ob, or, oo

d) if 2 balls are drawn with replacement

br

bo

bb (2 blue balls are possible, as it was replaced, even though just 1 blue ball)

rb

rr

ro

and

ob

or

oo