a jar contains three marbles; 1 yellow (y), 1 orange (o), and 1 red (r). which list shows all the possible…

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? how many of the outcomes contain at least one yellow marble?

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? how many of the outcomes contain at least one yellow marble?

Answer

Explanation:

Step1: List all possible outcomes

Since the first - marble is replaced, for each draw, there are 3 possibilities. The possible outcomes for two - draws are: (y,y), (y,o), (y,r), (o,y), (o,o), (o,r), (r,y), (r,o), (r,r).

Step2: Count outcomes with at least one yellow

We count the number of outcomes that have at least one 'y'. The outcomes are (y,y), (y,o), (y,r), (o,y), (r,y). There are 5 such outcomes.

Answer:

5