Question

Please Help

Use the following scenario to answer the question:
A bag contains 5 green marbles, 4 red marbles, 7 blue marbles, and 9 yellow marbles.

If 3 marbles are drawn from the bag one at a time and not replaced, what is the probability of drawing a blue, yellow, and red marble in that particular order?


A.6/11


B.5/18


C.63/3450


D.1/48

Answer 1

5 green marbles, 4 red marbles, 7 blue marbles, and 9 yellow marbles.

Find the total first... 5+4+7+9= 25 marbles

3 marbles are drawn from the bag one at a time and not replaced, what is the probability of drawing a blue, yellow, and red

first: probability of drawing a blue... 7/25
second: probability of drawing a yellow: 9/24 (you've taken out one marble, leaving 24)
third: probability of drawing red: 4/23 (you've taken out 2 marbles)

Now multiply the probabilities together.

Answer 2

which ones? @agent0smith

Answer 3

er, all of them.

Answer 4

thank you

Answer 5

Hopefully you understand how i found those probabilities...

Answer 6

I got 21/ 1180? @agent0smith

Answer 7

wait sorry 21/1150

Answer 8

you can probably simplify it...\[\Large \frac{ 7 \times 9 \times 4 }{ 25 \times 24 \times 23 }\] if you write it as \[\Large \frac{ 7 \times 4 \times 9 }{ 25 \times 24 \times 23 }\] then you can already simplify the 4/24

Answer 9

2/12

Answer 10

@agent0smith

Answer 11

All i did was change the 9 into 3x3, and the 24 into 4x3x2
\[\Large \frac{ 7 \times 4 \times 3 \times 3 }{ 25 \times 4 \times 3 \times 2\times 23 }\]

Answer 12

@agent0smith I got 252/ 13800

Answer 13

do I reduce this?

Answer 14

I gave what you needed to reduce already...

Answer 15

alright but the answer I got wasnt in my answer choices

Answer 16

@agent0smith

Answer 17

The answer, 21/1150, is up there... it just doesn't look exactly like that.

Answer 18

For whatever reason, the answer is NOT in simplified form :/ but it's there.

Answer 19

ok so it would be B? @agent0smith

Answer 20

If 21/1150 is the most simplified form (which it is), how can it then become 5/18 (which would be even more simplified than the most simplified form). The answer is not in the most simplified form. You could plug each answer into a calculator to see which matches 21/1150.

Answer 21

o wait 1 goes int 21 so it would be D. @agent0smith

Answer 22

Again... the most simplified form, 21/1150, can NOT get any simpler. It can not become 1/48. Do exactly what i said in the last response (use a calculator) to find the answer.

Answer 23

when I plugged in A. thats the only one that seemed to work

Answer 24

Check every answer on a calculator. Compare the results to 21/1150 on a calculator.

Answer 25

can you give me an example I think Im doing it wrong then @agent0smith

Answer 26

you want me to give an example of how to use your calculator to divide? that might be difficult :P

All you need to do is check each answer one at a time. One of them will look like this http://www.wolframalpha.com/input/?i=21%2F1150