The probability of selecting a red marble is 4/10, not 3/10. The probabilities of selecting a purple or yellow marble are both correctly given as 3/10. The statements that the total probability equals 1 and that the probability of selecting a green marble is zero are true.
When evaluating the statements regarding the probability of selecting a marble from a bag containing four red marbles, three yellow marbles, and three purple marbles, we can deduce the following:
A: This statement is false because the probability of selecting a red marble is 4/10, since there are 4 red marbles out of a total of 10 marbles.
B: This statement is true because there are 3 purple marbles out of 10, so the probability is indeed 3/10.
C: This statement is true because the sum of all probabilities of distinct outcomes must equal 1.
D: This statement is true because there are no green marbles mentioned in the scenario, so the probability is 0.
E: This statement cannot be assessed for truth without clarification. The probability you select a yellow marble is indeed 3/10, but the statement as written seems to imply a probability of 3, which would be incorrect as probabilities range from 0 to 1.
The probable question may be:
A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.
Which statements are true regarding the scenario? Check all that apply.
A. The probability you select a red marble is 3/10
B. The probability you select a purple marble is 3/10.
C. P(Red) + P(Yellow) + P(Purple) = 1
D. The probability you select a green marble is 0.
E. The probability you select a yellow marble is 3.