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

Question

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.

Answer 1

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.

Answer 2

e=mc2