Robin tosses a fair coin and then draws a ball from a bag that contains one red, one blue, and one green ball.

PART A: What are the possible outcomes for the experiment? Explain.
PART B: Three balls-one red, one blue, and one green-are added to the bag.
Will the total number of outcomes changes as a result? Explain why or why not.

Part A)

Possible Outcomes:
Heads and Red Ball
Heads and Blue Ball
Heads and Green Ball
Tails and Red Ball
Tails and Blue Ball
Tails and Green Ball
There are only 2 possible outcomes from the coin either heads or tails. There are three possible outcomes from drawing the 3 different colored balls.
2 (either heads or tails)*3(either red, blue, or green) = 6 different possibilities.

Part B:
The total number of outcomes will not change. This is because the chance of drawing a red ball is 2/6 the chances of drawing a blue ball is 2/6 and the chances of drawing a green ball is 2/6. So simplified there is a 1/3 chance that each color ball will be drawn. The amount of colors did not change and the chance of each ball being drawn did not change and therefore there is no increase in the possible outcome.

e=mc2

PART A: The possible outcomes for this experiment can be determined by considering the outcomes of tossing a fair coin and drawing a ball from the bag.

1. If the coin lands on heads (H) and Robin draws a red ball, the outcome is (H, Red).
2. If the coin lands on heads (H) and Robin draws a blue ball, the outcome is (H, Blue).
3. If the coin lands on heads (H) and Robin draws a green ball, the outcome is (H, Green).
4. If the coin lands on tails (T) and Robin draws a red ball, the outcome is (T, Red).
5. If the coin lands on tails (T) and Robin draws a blue ball, the outcome is (T, Blue).
6. If the coin lands on tails (T) and Robin draws a green ball, the outcome is (T, Green).

Therefore, the possible outcomes for the experiment are (H, Red), (H, Blue), (H, Green), (T, Red), (T, Blue), and (T, Green).

PART B: Adding three more balls to the bag (one red, one blue, and one green) will increase the total number of balls in the bag. This means that the total number of outcomes will change.

Initially, there were 3 balls in the bag (one red, one blue, and one green), and each ball had an equal chance of being chosen when drawing. Therefore, there were 3 possible outcomes.

After adding three more balls to the bag, there will now be 6 balls in total (two red, two blue, and two green). Each ball still has an equal chance of being chosen.

Since the total number of balls in the bag has increased, the total number of outcomes will increase as well. There will now be 6 possible outcomes instead of the original 3.