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Match the event with it\'s probability. You have a bag with 3 red marbles and 2

ID: 3049887 • Letter: M

Question

Match the event with it's probability. You have a bag with 3 red marbles and 2 blue marbles and draw two marbles, one at a time.

3/5

2/5

9/25

3/10

6/25

1/10

The probability of picking a blue marble on the first pick, replacing it, then picking a red marble on the second pick

The probability of picking a blue marble on the first pick, keeping it in your hand, then picking a blue marble on the second pick

The probability of selecting a red marble on the first pick, not replacing it in the bag, and selecting a red marble on the second draw

The probability of selecting a red marble, putting it back in the bag, then selecting a red marble on the second pick

The probability of selecting a blue marble on the first pick

The probability of selecting a red marble on the first pick

      -       A.       B.       C.       D.       E.       F.   

3/5

      -       A.       B.       C.       D.       E.       F.   

2/5

      -       A.       B.       C.       D.       E.       F.   

9/25

      -       A.       B.       C.       D.       E.       F.   

3/10

      -       A.       B.       C.       D.       E.       F.   

6/25

      -       A.       B.       C.       D.       E.       F.   

1/10

A.

The probability of picking a blue marble on the first pick, replacing it, then picking a red marble on the second pick

B.

The probability of picking a blue marble on the first pick, keeping it in your hand, then picking a blue marble on the second pick

C.

The probability of selecting a red marble on the first pick, not replacing it in the bag, and selecting a red marble on the second draw

D.

The probability of selecting a red marble, putting it back in the bag, then selecting a red marble on the second pick

E.

The probability of selecting a blue marble on the first pick

F.

The probability of selecting a red marble on the first pick

Explanation / Answer

A) The probability of picking a blue marble on the first pick, replacing it, then picking a red marble on the second pick

=(2/5)*(3/5) =6/25

B) The probability of picking a blue marble on the first pick, keeping it in your hand, then picking a blue marble on the second pick =(2/5)*(1/4) =1/10

C) The probability of selecting a red marble on the first pick, not replacing it in the bag, and selecting a red marble on the second draw =(3/5)*(2/4) =3/10

D) probability of selecting a red marble, putting it back in the bag, then selecting a red marble on the second pick

=(3/5)*(3/5) =9/25

E) probability of selecting a blue marble on the first pick =2/5

F) probability of selecting a red marble on the first pick =3/5

(please revert for any clarificaiton required)

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