Directions: Choose the letter that best answers each question.

1. Out of a class of 20 students, your teacher chooses students at random to represent their projects. What is the probability that she chooses you first, and then chooses Kim second?

A. 1/400

B. 1/380

C. 2/400 = 1/200

D. 2/380 = 1/160

2. A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles with replacement.

A. 25/144

B. 25/132

C. 20/144

D. 20/132

FOR ITEMS 3 - 4: From a standard deck of cards, what is the probability of choosing...

3. a red and then a club with replacement?

A. 1/2

B. 1/4

C. 1/6

D. 1/8

4. a diamond, then a heart, then a black without replacement?

A. 1/32

B. 1/66300

C. 169/5100

D. 13/480

5. A family has three children. Assuming that boys and girls are equally likely, determine the probability that the family has less than 2 girls given the first child is a girl.

A. 1/2

B. 1/4

C. 1/6

D. 1/8

FOR ITEMS 6-10: Tell whether the events are dependent or independent...

6. Pick a pencil from a box and put it back. Again pick a pencil from the same box.

A. Dependent

B. Independent

7. Pick one marble each from seven different bags.

A. Dependent

B. Independent

8. Arrange letters of the word 'TESTING'. Then rearrange them.

A. Dependent

B. Independent

9. Reading a page from a book and mark it as a read. Then again pick an unread page.

A. Dependent

B. Independent

10. Draw two marble from a bag one by one in sequence.

A. Dependent

B. Independent

11. We have a bag that contains 7 letters A, B, C, D, E, F, G. You choose three objects at random, without putting them back in. What is the probability that you will get the first letter is G, and the last is D?

A. 1/42

B. 1/21

C. 1/14

D. 2/21

12. One card is selected from a deck of cards find the probability that the card is not red given it is a queen .

A. 1/2

B. 1/4

C. 1/6

D. 1/8

13. A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles without replacement.

A. 2/33

B. 5/33

C. 7/33

D. 12/33

FOR ITEMS 14 -16: A pair of dice is rolled and the sum of the dice is recorded, determine the probability that...

14. the sum is greater than 5 given the first dice is a 4.

A. 1/6

B. 1/3

C. 5/6

D. 25/36

Other:

15. the sum is less than 3 given the first dice is a 2.

A. 0

B. 1/2

C. 1/6

D. 5/6

16. a double is rolled given neither dice is a 4.

A. 1/2

B. 1/3

C. 1/4

D. 1/5

17. Adam has 5 blue pens, 7 red pens and 8 black pencils, 10 green pencils. Every day before going to school he picks two things at random. What is the probability that he chooses a pencil first and then a red pen?

A. 7/50

B. 6/25

C. 21/145

D. 36/145

FOR ITEMS 18 - 20: At a zoo, a sampling of children was asked if the zoo were to get one additional animal, would they prefer a lion or an elephant. The results of the survey follow:

Lion Elephant Total Boys 90 110 200 Girls 75 85 160 Total 165 195 360