Answer:
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.
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%.