There are 10 fraternity brothers at a shooting gallery at the state fair. Each brother is a perfect shot. Ten cardboard ducks appear simultaneously, and each shooter picks one of the ten ducks at random and hits his target. We will assume that they are allowed only one shot.
Simulate this experiment using a table or random numbers. Explain what will constitute a repetition.
I was thinking of labelling the ducks 0 to 9 and then picking a line from the Table of Random Numbers and using 10 digits and whichever numbers aren't present are the ducks that were not shot at. Is this right?
2006-12-02 12:22:06 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Sounds good to me!
2006-12-02 12:25:31 · answer #1 · answered by pdate07 2 · 0⤊ 0⤋
I don't think that that's right. Each shooter independently chooses a duck (digit). It doesn't matter if two or more shooters hit the same duck, all that matters is that each shooter has a 1/10 chance of picking, thus hitting, a given duck.
So, what you really want to do is generate 10 random digits individually and look at repetitions.
Wait, I convinced myself that what you're doing is correct!
I'll leave this here for other comments.
2006-12-02 12:34:29 · answer #2 · answered by modulo_function 7 · 0⤊ 0⤋
What is the outcome of the experiment you want to know? Which duck each shooter picks?
Are they shooting simultaneously or in sequence?
If in sequence, it seems like an unnecessarily complex description for randomly choosing 10 numbers (or ducks) without repetition.
If they shoot simultaneously, then there is repetition.
A clearer description of the problem is what you need.
2006-12-02 12:29:29 · answer #3 · answered by Anonymous · 0⤊ 0⤋