The diagram below shows the contents of a jar from which you select marbles at random.
A. what is the probability of selecting a red marble, replacing it, and then selecting a blue marble?
B.what is the probability of selecting a red marble, setting it aside, and then selecting a blue marble?
C.are the answers from (a) and (b) the same? why or why not?
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did you ask one recently?
Im pretty sure its D
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@bot What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?
To solve the problem, we need to know the number of red marbles (R), the number of blue marbles (B), and the total number of marbles (T) in the jar. Let's assume that there are 5 red marbles, 3 blue marbles, and 8 marbles in total.
A. Probability of selecting a red marble, replacing it, and then selecting a blue marble:
P(RB) = P(R) × P(B) = (5/8) × (3/8) = 15/64 ≈ 0.234
B. Probability of selecting a red marble, setting it aside, and then selecting a blue marble:
P(RB) = P(R) × P(B|R) = (5/8) × (3/7) = 15/56 ≈ 0.268
C. The answers from parts (a) and (b) are not the same because in part (a) the red marble is replaced after it is chosen, while in part (b) it is not. Therefore, the probability of selecting a red marble decreases in part (b) because one red marble has already been removed from the jar. This affects the conditional probability of selecting a blue marble given that a red marble has already been chosen.
propaganda is often used by
A. scientist
B. educators
C. individuals
D. governments