6. Think of an experiment for which an event occurs with each probability. Explain your choice. a) 100% b) 1/2 c) 1:6 d) 0

a) 100%. Choosing a red marble out of a bag that contains 10 red marbles.

b) 1/2, or 50%. Flipping a fair coin and landing on heads.

c) 1/6, or approximately 16.7%. Choosing a blue marble out of a bag that contains one blue marble and 5 other green marbles. (1 blue / total (1 blue+5 green).

d) 0, or 0%. Choosing a yellow marble out of a bag that contains all green marbles.

Step-by-step explanation:

a) 100%. Choosing a red marble out of a bag that contains 10 red marbles.

If there are only red marbles in the bag, the only possible outcome for your selection is a red marble. Thus the chance you will select a red marble is 100%.

b) 1/2, or 50%. Flipping a fair coin and landing on heads.

For a fair coin, you either land on heads or tails. Because there are two sides to choose from - the probability that you will choose correctly is 50%

c) 1/6, or approximately 16.7%. Choosing a blue marble out of a bag that contains one blue marble and 5 other green marbles. (1 blue / total (1 blue+5 green).

In the bag, there are a total of 6 marbles (5 green and 1 blue) If you were to choose a blue marble, your chances would be 1/6. (Blue/Blue+Green)

d) 0, or 0%. Choosing a yellow marble out of a bag that contains all green marbles.

In the bag, there are only green marbles. Thus, it is impossible to chose a yellow marble from that bag and the chance is 0%.