- Thread starter knj9404
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The probability that none of the five is black is \(\displaystyle \dfrac{\binom{34}{5}}{\binom{37}{5}}\).there are 37 marbles in a box

3 of those 37 marbles are black marbles

what is the probability of a person taking out 5 marbles and one of those 5 marbles is a black marble?

So what is the probability that at least one of the five is black?

The problem should have been given more precisely.

I will

There are 37 marbles in a box: 3 of them are black marbles.

Five marbles are drawn out at random without replacement.

What is the probability that exactly one of those 5 marbles is black?

There are: .\(\displaystyle _{37}C_5\) possible outcomes.

There are: .\(\displaystyle \left(_3C_1\right)\left(_{34}C_4\right)\) outcomes with exactly one black marble.

\(\displaystyle P(\text{exactly 1 black marble}) \;=\;\dfrac{139,\!128}{356,\!643} \;=\;\dfrac{248}{777}\)

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Look at the OP.oesi think the problem is asking the probability when only one of the 5 marbles is black..

Where in the OP statement does it say or even implythere are 37 marbles in a box

3 of those 37 marbles are black marbles

It does not!

The selection \(\displaystyle B.~B,~R\) contains

so what you are trying to tell me is that the question is elusive?

i think the question asks the possibility of one black marble in the 5 marbles that were drawn out of the box...

do you think it has a different solution to it?

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This is a simple matter of reading the English Language.so what you are trying to tell me is that the question is elusive?

i think the question asks the possibility of one black marble in the 5 marbles that were drawn out of the box...

do you think it has a different solution to it?

Suppose that we have a bin containing six black balls and five white balls.

Let's say that I reach in and get a handful of four balls.

The question is "

I have \(\displaystyle w,w,w,b\) so

I have \(\displaystyle w,w,b,b\) so

I have \(\displaystyle w,b,b,b\) so

I have \(\displaystyle b,b,b,b\) so

I have \(\displaystyle w,w,w,w\) so

What is your problem with the English Language?