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There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that Maria will pick two red marbles if she returns the first marble to the bag?
p((red))p((red))=(4/8)(4/8) answer:
A.3/14
B.1/4
C.4/8
D.4/7

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rvkacademic

Answer:

B.1/4

Step-by-step explanation:

There are 4 red marbles

There are totally 8 marbles

This is a situation where sampling is done without replacement

Let Ei denote the event, picking a red marble on the ith pick

P(E1) for the first pick = 4/8 = 1/2

Since the marble is replaced, the probabilities are unchanged
P( E2) = 1/2

So P(E1 ∩ E2) = 1/2 x 1/2 = 1/4

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