Which is the best chance of winning by drawing lots first and then drawing lots?

We often encounter such a problem, 10 people draw a lottery. It should be said that everyone has the same probability of winning the prize. However, some people think that it is cost-effective to smoke first, and then it is not cost-effective. Now let's analyze:

The probability of the first person winning the prize is 1 10, and the probability of not winning the prize is 910;

The second person only has nine lucky draws, and there are two possibilities: ① The first person wins the prize, and the probability of the second person winning the prize should be110× 09 = 0; ② If the first person doesn't win the prize, the probability of the second person winning the prize should be 910×19 =110.

So the probability of the second person winning the prize is:

p = 1 10×09+9 10× 1 9 = 1 10

So the second person draws lots, regardless of whether the first person wins or not, his probability of winning is still 1 10.

When the third person goes to draw lots, there are still eight lots, which are also two situations:

① One of the first two people has been drawing a lottery, and the probability of the third person drawing a lottery should be (110× 09+0/kloc-0+19 )× 08) = 0.

(2) The first and second people didn't win a prize, but the probability that the third person won a prize should be:

9 10×89× 18= 1 10

So the probability of the third person drawing a lottery is:

( 1 10×09+0 10× 19)×08+9 10×89×89× 18= 1 10

So whether the first person or the second person draws a lottery, the probability of the third person drawing a lottery is still 1 10, so whether the person of 10 draws a lottery first or later, the probability of drawing a lottery is the same, and the opportunity is the same.