Question

A bag contains 1 blue, 2 white, and 2 red marbles. Match the columns. Drag the letter after a compound event in the left column and drop it before the matching probability in the right column. Select Submit to see if you are correct.

1- P(red and red), with replacement
2- P(white and white), without replacement
3- P(blue and red), with replacement
4- P(white and red), without replacement

A- 16%
B- 8%
C- 20%
D- 10%

(Know that you cannot have the same answer for more than one match. Example: You CAN'T have: 1-A, 2-A, 3-C, 4-D)

Answer 1

@HawkCrimson @Mertsj

Answer 2

...it's so long..
i dont like doing long questions..

Answer 3

summerize it :P

Answer 4

ah @Mertsj will take over :P

Answer 5

@ImABibliophile
How many marbles are in the bag?

Answer 6

5

Answer 7

How many of them are red?

Answer 8

2

Answer 9

You reach in the bag and draw out a marble. What is the probability it is red?

Answer 10

40% chance... i think.

Answer 11

Well you could make like simple and just say 2/5

Answer 12

Ya, the answers are in percents so Im practicing :D

Answer 13

Ok. You put the red marble back. Now how many marbles are in the bag?

Answer 14

5 since you put it back

Answer 15

How many of them are red?

Answer 16

2 out of 5

Answer 17

So yes, the probability that you draw another red marble is exactly the same as at the beginning since the conditions are the same. So the probability of getting a red marble on the first draw is 2/5. The probability of getting a red marble on the second draw is 2/5. Multiply those individual probabilities. What do you get?

Answer 18

\[\frac{2}{5}\times \frac{2}{5}=\]

Answer 19

4/25

Answer 20

sorry, i take a long time doing problems

Answer 21

Divide 4 by 25 and change it to a percent.

Answer 22

so that would be 16%

Answer 23

and so 1- C

Answer 24

but now we have without replacement which I am even more confused with

Answer 25

Ok. We'll start over. There are 5 marbles in the bag, 2 of them are white. What is the probability you will draw out a white marble?

Answer 26

it says im typing but im not. well... now i am but not before

Answer 27

40% like the red marbles

Answer 28

because of there being also two whites like the two reds. so 40% or 2/5

Answer 29

Well finally, I got back on here. It is very slow, however.

Answer 30

Yes. 2/5 is the probability of drawing out a white marble.
Now you have taken the white marble out of the bag. You did NOT put it back.
How many marbles are in the bag now?

Answer 31

4 marbles are left in the bag

Answer 32

How many of them are white?

Answer 33

Since you took out one, there is only 1 left so 1/4 or 25%

Answer 34

So, again, multiply the individual probabilities:
\[\frac{2}{5}\times\frac{1}{4}=\]

Answer 35

1/10 or 10%

Answer 36

Good. Do you understand? Can you try the next one?

Answer 37

I get it. Let me try it. I'll reply the answer back on here so you can check it. :D

Answer 38

Wait, when they say red, does it mean just one red marble or both?

Answer 39

Number 3 says to find the probability of drawing a blue marble and a red marble if you put the blue marble back.
How many marbles are in the bag? Answer 5
How many marbles are blue? Answer 1
What is the probability of drawing a blue marble? Answer 1/5
Now you put the blue marble back in the bag.
How many marbles are in the back? Answer: 5
How many marbles are red? Answer: 2
What is the probability of drawing a red marble? Answer 2/5
What is the product of 1/5 and 2/5? Answer : 2/25
What is 2/25 expressed as a percent? Answer: 8%

Answer 40

@Mertsj
Ya, i tried sending that but my computer froze so at least I got it right!

Answer 41

Very good. Now see if you can verify that the answer to the fourth one is the remaining choice.

Answer 42

Okay, so if we take out the reds and whites, we have 4/5. And we don't put them back in. So now we have 2/5 reds and 2/5 whites and 1/1 blue left in the bag. Now here is where I'm confused. I don't know what to do.

Answer 43

I might understand it now

Answer 44

Number 4: Probability of white and red and you don't put the white one back.
What is the probability of drawing a white marble? 2/5
Since you didn't put it back there are 4 marbles in the bag and 2 of them are red. what is the probability of drawing a red marble: 2/4 = 1/2
Multiply 1/2 and 2/5=2/10=20%

Answer 45

Ohhhhh... I get it now!

Answer 46

Very good.

Answer 47

Thx so much for your help!

Answer 48

yw