Balls

[dawn]

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[SIZE=14pt]Q: You have two buckets and 100 balls, 50 white and 50 black. You wish to maximize the odds that someone picking a ball at random from one of the urns will pick a black ball. [/SIZE]

How do you do so, and what are the maximum odds?

 

[hely]

[SIZE=14pt]Q: You have two buckets and 100 balls, 50 white and 50 black. You wish to maximize the odds that someone picking a ball at random from one of the urns will pick a black ball. [/SIZE]How do you do so, and what are the maximum odds?

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its half way through the week, my brain wont allow me to even try and think about that :wacko:

 

[Painted Lady]

you only looked cos you saw the words Balls hely

 

[hely]

you only looked cos you saw the words Balls hely

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:b

 

[dawn]

you only looked cos you saw the words Balls hely

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[SIZE=14pt]Et Tu Brute?[/SIZE]

 

[Painted Lady]

errr...ummm.....well..maybe the heading did sway me a bit :- "

 

[June Jonigk]

Send them to the bucket with black balls in it?????

There's two buckets - does one have white balls and one have black balls?

 

[dawn]

Send them to the bucket with black balls in it?????
There's two buckets - does one have white balls and one have black balls?

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[SIZE=13pt]Nope - good guess though as that does give a 50/50 chance[/SIZE]

 

[June Jonigk]

Take all the black balls from the bucket, and put them in the urns? :unsure:

 

[Juley]

Mark said the same as me, put the white balls in first and the black on top. Now Richard, tell us the answer. :rant:

 

[LVernon]

[SIZE=14pt]Q: You have two buckets and 100 balls, 50 white and 50 black. You wish to maximize the odds that someone picking a ball at random from one of the urns will pick a black ball. [/SIZE]How do you do so, and what are the maximum odds?

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Split them into black in one bucket and white in the other and have them pick from the bucket of black ones - 100% odds they'll get it right.

Louanne

 

[lalena]

:blink: is this one of those trick questions? because, though you have both coloured balls available, doesnt say you actually have to use them... so, if thats the case, you can get a 100% if only the black are used. if it isnt a trick question, then i havent a clue :lol:

 

[June Jonigk]

No answer yet? :- " Is it a trick question? You talk about 2 buckets, but then ask about taking balls from urns - couldn't you just put black balls in the urns, and split the white balls between the two buckets?

 

[dawn]

No answer yet? :- "  Is it a trick question?  You talk about 2 buckets, but then ask about taking balls from urns - couldn't you just put black balls in the urns, and split the white balls between the two buckets?

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Must check my copy & paste better - for this question Buckets and Urns are the same

[SIZE=13pt][/SIZE]

Here is the answer:

Put one black ball in one bucket, and all the other balls in the other bucket. Then the person will have a 1 in 2 (1/2) chance of picking the bucket with the single black ball, and a 1/2 chance of picking the bucket containing 49 black balls out of 99. This gives a combined odds of 148/198 or 74/99 or a little under 3/4 of picking a black ball.