A bag contains 10 purple, 12 green, 8 blue, and 15 red marbles. One marble is randomly chosen from the bag.
Which statement is true?
A. A blue marble is least likely to be chosen.
B. A green marble is most likely to be chosen.
C. A purple marble is equally likely to be chosen as a blue marble.
D. A red marble is twice as likely to be chosen than a purple marble
First, let's calculate the probability of choosing each color marble:
- Purple marble: P(purple) = 10/45 ≈ 0.2222
- Green marble: P(green) = 12/45 ≈ 0.2667
- Blue marble: P(blue) = 8/45 ≈ 0.1778
- Red marble: P(red) = 15/45 ≈ 0.3333
Now we can analyze the statements:
A. A blue marble is least likely to be chosen.
False. The probability of choosing a blue marble is 0.1778, which is greater than the probability of choosing a purple marble (0.2222).
B. A green marble is most likely to be chosen.
False. The probability of choosing a green marble is 0.2667, while the probability of choosing a red marble is 0.3333, which is the highest probability among all the colors.
C. A purple marble is equally likely to be chosen as a blue marble.
False. The probability of choosing a blue marble is 0.1778, while the probability of choosing a purple marble is 0.2222, which is greater.
D. A red marble is twice as likely to be chosen than a purple marble.
True. The probability of choosing a red marble is 0.3333, while the probability of choosing a purple marble is 0.2222. The probability of choosing a red marble is approximately 1.5 times the probability of choosing a purple marble, meaning it is more than twice as likely.
which one is correct?
Based on the calculations, the correct statement is:
D. A red marble is twice as likely to be chosen than a purple marble.