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Mathematics 38 Online
OpenStudy (anonymous):

A jar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. Find the probability of drawing a white or red marble on the first draw

OpenStudy (mertsj):

How many marbles in the jar?

OpenStudy (anonymous):

20

OpenStudy (mertsj):

Better add again. 20 black + 16 red + 4 white = how many marbles?

OpenStudy (anonymous):

40

OpenStudy (mertsj):

Yes. How many of them are black or red?

OpenStudy (anonymous):

20 black 16 red

OpenStudy (mertsj):

How many is that in all?

OpenStudy (anonymous):

36

OpenStudy (mertsj):

Now remember: probability is successful outcomes divided by total outcomes. So there are 36 marbles that will give us success. And there are 40 possible outcomes. So what is the probability of success? (And of course, success is getting a red or black marble)

OpenStudy (anonymous):

20/40 or 36/40

OpenStudy (mertsj):

Which one?

OpenStudy (anonymous):

20/40

OpenStudy (mertsj):

How many marbles constitute success?

OpenStudy (anonymous):

what do u mean ?

OpenStudy (anonymous):

how many are left

OpenStudy (mertsj):

If I draw a white marble is that success?

OpenStudy (anonymous):

im confused now...

OpenStudy (anonymous):

4 white if i add with the red would be 20

OpenStudy (mertsj):

\[P=\frac{successful`outcomes}{all`outcomes}\]

OpenStudy (anonymous):

P=20/40 am i wrong?

OpenStudy (mertsj):

No

OpenStudy (mertsj):

\[\[Probability ofred`or`black=\frac{number`of`red`and`black`marbles}{total`number`of`marbles}\]\]

OpenStudy (mertsj):

So what is the probability of drawing a red or black marble?

OpenStudy (anonymous):

36/40

OpenStudy (mertsj):

Very good. Now reduce that fraction

OpenStudy (anonymous):

9/10 but this are my choices 1/25 1/2 1

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