Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

3) In another game, there are 10 marbles in a box. 6 are red and 4 are blue. You
pull one marble from the box, don't put it back, and then pull another marble.
Calculate the following probabilities:
a) Pulling two reds.
b) Pulling two blues.
c) Pulling one of each.

Sagot :

Part (A)

We have 6 red and 4 blue marbles, so 6+4 = 10 total.

The probability of getting red is 6/10 since we have 6 red out of 10 total.

The probability of getting another red is 5/9 because we don't put the first marble back.

The probability of getting two reds in a row is (6/10)*(5/9) = 30/90 = 1/3

Answer: 1/3

========================================================

Part (B)

4/10 represents the probability of getting blue on the first try

3/9 represents the probability of getting a blue marble on the second try

We don't put the marble back.

(4/10)*(3/9) = 12/90 = 4/30 is the probability of getting two blues in a row.

Answer: 4/30

========================================================

Part (C)

Add up the results of parts (A) and (B)

1/3 + 4/30

10/30 + 4/30

(10+4)/30

14/30

7/15

The result 7/15 is the probability of either getting two reds OR getting two blues (pick one case only). This tells us that 7 out of 15 times we'll have this happen. This must mean the remaining 8 times will have two marbles of different colors.

So 8/15 is the probability of picking one marble of each color.

------

As an alternative, we could also consider it like this

(6/10)*(4/9) = 24/90 = 4/15

This represents the probability of picking red first, then blue next.

Similarly,

(4/10)*(6/9) = 24/90 = 4/15

represents the probability of picking blue first, then red next.

Therefore, 4/15+4/15 = 8/15 is the probability of getting one of each color.

-----

Answer:   8/15

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.