1. The following tests can constitute an event ()

A. toss a coin once. B. take a picture. C. At standard atmospheric pressure, water is burned to 100℃. D. winning the lottery.

2. In the number of 1, 2, 3, …, 10, take any three numbers, then the event whose sum of these three numbers is greater than 6 is ().

A. inevitable events B. impossible events C. random events D. none of the above options are correct

3. The Meteorological Observatory predicts that "the probability of rain in this city tomorrow is 70%", and the following understanding is correct ()

A. There will be 70% rainfall in this city tomorrow; B.it will rain 70% of the time in this city tomorrow;

C. Traveling without rain gear tomorrow will definitely get wet; D. it is very likely that it will rain tomorrow without rain gear.

4. The following statement is true ()

A The probability of any event is always between (0, 1).

B. frequency exists objectively and has nothing to do with the number of tests.

C. As the number of tests increases, the frequency will generally get closer to the probability.

D. the probability is random and cannot be determined before the test.

5. Throw an even hexahedron dice, and the probability of throwing not less than 3 is ()

a、 1/3 B、 1/2 C、2/3 D、5/6

6. Xiao Ming used a uniform coin to test, and the results of the first 7 shots were upside down. If the probability of the eighth throw is recorded as p, then ()

A, P= 1/2 B, p < 1/2 c, p > 1/2 d, uncertain.

7. If someone shoots once, set event A: "Hit the target"; Event b: "The number of hit rings is greater than 5"; Event c: "The number of hit rings is greater than 1 less than 6"; Event D: "The number of hit rings is greater than 0 and less than 6", then the correct relationship is ()

A.B and c are mutually exclusive events, and B. B and c are opposite events.

C.A and D are mutually exclusive events, and D. A and D are opposite events.

8. Take out any two balls from the middle bag containing two red balls and two white balls, then two events that are mutually exclusive but not opposite are ().

A. There are at least 1 white balls, all of which are white balls. B. The white ball shall be at least 1, and the red ball shall be at least 1.

C. There are only 1 white balls and two white balls. D there are at least 1 white balls, all of which are red balls.

9. Take out three products from a batch of products, let A= "none of the three products are defective", B= "none of the three products are defective" and C= "none of the three products are defective", then the following conclusion is correct ().

A, A and C mutually exclusive B, B and C mutually exclusive C, any two mutually exclusive D, no two mutually exclusive.

10. Spot-check 10 products, and set event A: There are at least two defective products, then the opposite event of A is ().

A. at most two defective products B. at most one defective product C. at most two genuine products D. at least two genuine products.

1 1. Throw two coins with uniform texture at the same time, and the probability of two heads facing up is ().

A. 1/2 b . 1/4 c . 1/3d . 1/8

12. If a coin is tossed three times in a row, the probability that it will appear heads only once is ().

a . 3/8b . 2/3c . 1/3d . 1/4

13. If Party A and Party B stay in two vacant rooms at will, the probability of each party living in a room is ().

A.1/3 b.1/4 c.1/2 d. can't be determined.

14. There are 10 tickets of the same size in one pocket, numbered as follows. The probability of choosing two tickets and at least one of them is even is ().

A.5/ 18

15. Xiaoming has two coats in his wardrobe, one with long sleeves and the other with short sleeves. There are three pairs of trousers, white, yellow and blue. The probability that he takes out a coat and a pair of trousers at random is ().

a、5/6 B、 1/4 C、 1/6 D、 1/3

16. There are two red balls and two white balls in a bag. Now take out the 1 ball from the bag, then put it back in the bag and take out another ball. Then the probability that two balls are the same color is ().

1/2 b . 1/3 c . 1/4d . 2/5

17. The probability that the weather station predicts that A and B will be fine tomorrow is 0.3 and 0.4 respectively, so the probability that A or B will be fine tomorrow is ().

A.0.7 b . 0. 12 c . 0.68d . 0.58

Answer1-5: dcdcc6-10: aacbb11-15: bacdc16-17: ad.

1. Randomly select 3 similar products (including 12 genuine products and 2 defective products), and the following events are inevitable.

A.all three are authentic. B at least one of them is defective ()

C.3 is all defective. D. at least one of them is true.

2. Give the following four propositions:

It is inevitable that all three balls are put in two boxes, and there must be more than one ball in one box.

(2) "when x is a real number, x 2.

It is inevitable that it will rain tomorrow. /kloc-5 out of 0/00 bulbs are defective, which is a random event.

The number of correct propositions is ()

A.0 B. 1 C.2 D.3

3. Choose two different numbers from the number 1, 2, 3, 4 and 5 to form a two-digit number. The probability that this two-digit number is greater than 40 is

A. 1/5 B. 2/5 C. 3/5 D. 4/5()

There are three white balls and two black balls in the schoolbag. If two balls are randomly drawn, the probability of drawing at least 1 black balls is

A.3/7 b . 7/ 10 c . 10d . 3/ 10()

5. Choose any two of the nine pieces of paper marked with 1, 2, 3, 4, 5, 6, 7, 8 and 9, and the probability that the product of the two pieces of paper is even is ().

A. 1/2 b . 7/ 18 c . 13/ 18d . 1 1/ 18

6. A group of * * students 10, including 3 girls. Now choose two representatives, and the probability of at least 1 girl being elected is ().

A.7/ 15 b . 8/ 15 c . 3/5d . 1

7. The following statement about classical probability is true ()

① The number of basic events that may occur in the test is limited; (2) The possibility of each event is equal;

③ The total number of basic events is n, and random event A contains k basic events, so p (a) = k/n;

④ The possibility of each basic event is equal;

A. 1 B. 2 C. 3 D. 4

8. Take any two balls from the pocket with two red balls and two white balls, then the number of mutually exclusive events in the following events is ().

(1) At least one white ball, all white balls; (2) at least one white ball and at least one red ball;

(3) There is only one white ball and only two white balls; At least one white ball is red.

A.0 B. 1 C.2 D.3

9. In the following groups of events, the event that is not mutually exclusive is ().

A. A shooter shoots once, and the number of hits is more than 8 and less than 6.

B. Count the results of a class's math midterm exam, with an average score of not less than 90 and an average score of not more than 90.

C. sow 100 rapeseed, 90 seeds germinate and 80 seeds germinate. D. Check a product, the pass rate is higher than 70%, and the pass rate is 70%.

10. Each side of the even cube toy is marked with the numbers 1, 2, 3, 4, 5, 6. Throw the toy up 1 time. Let event A indicate that odd dots appear on the upper side, event B indicates that the number of dots on the upper side is not more than 3, and event C indicates that the number of dots on the upper side is not less than 4.

A.a and b are mutually exclusive but not antagonistic events. B. A and b are antagonistic events.

C.b and c are mutually exclusive but not antagonistic events. B and c are antagonistic events.

Answer1-5: ddbbc6-10: bccbd