A certain tourism promotion evening party held a lucky draw for guests. The rules of the lucky draw are: there are 2 small balls of the same size in the lottery box, each with "Colorful" printed on it

A certain tourism promotion evening party held a lucky draw for guests. The rules of the lucky draw are: there are 2 small balls of the same size in the lottery box, each with "Colorful" printed on it.

(I); (II) The distribution column is analyzed as follows; .

Test question analysis: (I) The criterion for winning this question is to draw two balls If both balls are printed with the logo of "Colorful Ten Arts Festival", you can win the prize. The given condition is that the probability that both balls are not both with the logo of "Beautiful Spring City Tour" is the opposite of both. So suppose there are n logos. If there is "Beautiful Spring City Tour", the probability of both being "Beautiful Spring City Tour" is. Calculate the value of n. 10-n is the number of balls with "Colorful Ten Arts Festival" printed on them. You can find the probability of the lottery winner winning. .(II) This question is a hypergeometric concept independence experiment. Distribution series and mathematical expectation and variance formulas. .This question is mainly to test probability knowledge and elicit mathematical knowledge from life background. Apply the mathematical knowledge learned.

Examination of the test question: (I) Suppose there are balls with the logo of "Travel to Beautiful Spring City". Not all of them are marked as "Travel to Beautiful Spring City", but they are all "Travel to Beautiful Spring City".

"The probability of the sign is obtained by the probability of the opposite event: ,

So there are 4 "Colorful Ten Arts Festival" sign cards***

∴The probability of the lottery winner winning 6 points

(II) ~ , the distribution of is or

0

1

2

3

4

∴

12 points