Record the possible outcomes of the repeated experiment.
A bag has 1 green marble, 1 blue marble, and 3 yellow marbles. A marble is picked from the bag and replaced, then a marble is picked again.
Choose the correct answer below.
A.
G B Y
G GG GB GY
B BG BB BY
Y YG YB YY
B.
G B Y Y Y
G GG GB GY GY
B BG BB BY BY
Y YG YB YY YY
Y YG YB YY YY YY
C.
Y Y
G GY GY
B BY BY
D.
G B Y
G GB GY
B BG BY
Y YG YB
The correct answer is D.
Explanation:
When you pick a marble from the bag and replace it before picking again, each marble has the same chance to be selected every time. Since there are 1 green (G), 1 blue (B), and 3 yellow (Y) marbles, these are the possible outcomes for two picks:
1. Picking a Green (G) first and then any marble:
– GG (Green, Green)
– GB (Green, Blue)
– GY (Green, Yellow)
2. Picking a Blue (B) first and then any marble:
– BG (Blue, Green)
– BB (Blue, Blue)
– BY (Blue, Yellow)
3. Picking a Yellow (Y) first and then any marble:
– YG (Yellow, Green)
– YB (Yellow, Blue)
– YY (Yellow, Yellow)
Thus, all combinations are represented in option D, making it the correct choice. If you have more questions or need further assistance, feel free to ask!