Question

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 

What is the probability that Maria will pick up two red marbles in a row if she did not replace the first marble in the bag?   p((red))p((red))=(4/8)(3/7) answers: A.1/8 B.3/14 C.4/12 D.3/8

Answer 1

A) 1/4

B) 3/14

Explanation:

See photo :)

Answer 2

Answer: The correct options are

(B)
`(1)/(4)`

(B)
`(3)/(14).`

Step-by-step explanation: Given that there are 4 red marbles, 2 white marbles, and 2 black marbles in a bag.

We are to find the probability that Maria will pick two red marbles if she returns the first marble to the bag.

The probability is given by

`p=P(red)P(red)=(4)/(4+2+2)*(4)/(4+2+2)=(4)/(8)*(4)/(8)=(1)/(2)*(1)/(2)=(1)/(4).`

Thus, (B) is the correct option.

Also, we are to find the probability that Maria will pick up two red marbles in a row if she did not replace the first marble in the bag.

The probability is given by

`p=P(red)P(red)=(4)/(4+2+2)*(3)/(3+2+2)=(4)/(8)*(3)/(7)=(3)/(14).`

Thus, (B) is the correct options.