5
AssignmentDropdown

Compound Events and Sample Space

Question 5 • Common Core Math 7 - MA3107 CR

A jar contains three marbles; 1 yellow (y), 1 orange (o), and 1 red (r). Which list shows all the possible outcomes for choosing two marbles at random from the jar if the first marble is replaced after it is drawn?

Answer
A
yy, yo, yr
B
yy, yo, yr, oy, oo, or, ry, ro, rr
C
yo, yr, oy, or, ry, ro
D
yy, yo, yr, oo, or, rr

Explanation

Because the first marble is replaced, each draw can be yellow, orange, or red, and the second draw can also be any of the three. The outcomes are ordered, so for example, yo and oy are different. This gives 3 × 3 = 9 outcomes: yy, yo, yr, oy, oo, or, ry, ro, rr. Choice B lists all nine outcomes.

AI-written and checked against the verified answer.

Previous
Next