14.0k views
0 votes
Now we're going to apply these same principles of

with/without replacement to a simple game with a bag
of marbles.
John chooses a marble without replacing it. He then
choose a second marble. In the bag, there are 8 red, 6
blue, 8 white, and 5 yellow. Find the probability for each
of the outcomes listed in the table.
Keep each answer in DECIMAL form, rounding to 3
decimal places.

Now we're going to apply these same principles of with/without replacement to a simple-example-1
User Ninca
by
8.2k points

1 Answer

1 vote

Answer:

In bold, see below

Explanation:

P(Red, Blue) means that there's an 8/27 chance of selecting a red marble, and then a 6/26 chance of selecting a blue marble after eliminating the red marble we just grabbed. Therefore, multiplying the probabilities, (8/27)(6/26) = 48/702 = 0.068 would be the probability of selecting a red marble followed by a blue without replacement.

P(Red, Red) means that there's an 8/27 chance of selecting a red marble, and then a 7/26 chance of selecting a red marble after eliminating the first red marble we just grabbed. Therefore, multiplying the probabilities, (8/27)(7/26) = 56/702 = 0.08 would be the probability of selecting a red marble followed by a red without replacement.

P(Blue, White) means that there's a 6/27 chance of selecting a blue marble, and then an 8/26 chance of selecting a white marble after eliminating the first blue marble we just grabbed. Therefore, multiplying the probabilities, (6/27)(8/26) = 48/702 = 0.068 would be the probability of selecting a blue marble followed by a white without replacement.

P(Yellow, Red) means that there's a 5/27 chance of selecting a yellow marble, and then an 8/26 chance of selecting a red marble after eliminating the first blue marble we just grabbed. Therefore, multiplying the probabilities, (5/27)(8/26) = 40/702 = 0.057 would be the probability of selecting a yellow marble followed by a red without replacement.

User Andrew Norrie
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories