Quiz about Probability Revision

Question 1

We want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways are

Accepted Answer

2!*5!*5!

Answer

2!

Answer

10!

Answer

10!-(5!*5!)

Question 2

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

Accepted Answer

120

Answer

720

Answer

20

Answer

36

Question 3

How many ways can you choose a manager and assistant from a 9-person task force?

Accepted Answer

72

Answer

81

Answer

36

Question 4

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Accepted Answer

12

Answer

6

Answer

16

Answer

24

Question 5

Find the number of possibilities:

A team of 17 softball players needs to choose three players to refill the water cooler.

Accepted Answer

680

Answer

272

Answer

4080

Answer

4913

Question 6

A combination lock has 7 digits. How many distinct combinations does this lock have if the numbers used have to be 0 through 5?

Accepted Answer

279936

Answer

78125

Answer

823543

Answer

16807

Question 7

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Accepted Answer

504

Answer

84

Answer

9!

Answer

3!

Question 8

Eva has eight glasses of water. In how many different orders can the glasses of water be arranged?

Accepted Answer

8!

Answer

8

Answer

64

Answer

56

Question 9

What is the probability of landing on the blue or red parts of the spinner?

Accepted Answer

1/2

Answer

3/8

Answer

7/8

Answer

3/8

Question 10

An ordinary fair cubical die is thrown. Find the probability that the score on the die is even or prime.

Accepted Answer

$$\frac{5}{6}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Question 11

An ordinary fair cubical die is thrown. Find the probability that the score on the die is even and prime.

Accepted Answer

$$\frac{1}{6}$$

Answer

$$\frac{5}{6}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{4}$$

Question 12

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies?

Accepted Answer

$$\frac{27}{40}$$

Answer

$$\frac{8}{15}$$

Answer

$$\frac{2}{5}$$

Answer

$$\frac{7}{15}$$

Question 13

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

Accepted Answer

0.0267

Answer

0.75

Answer

0.08

Answer

0.25

Question 14

What is the probability that a student does not play in a sports team given they play an instrument?

Accepted Answer

$$\frac{3}{11}$$

Answer

$$\frac{3}{10}$$

Answer

$$\frac{3}{20}$$

Answer

$$\frac{7}{9}$$

Question 15

There are 5 red counters and 7 blue counters in a bag. Darian takes a counter from the bag, puts it on the table and then takes another counter from the bag. Find the probability that he takes out a red counter then a blue counter.

Accepted Answer

$$\frac{35}{132}$$

Answer

$$\frac{28}{33}$$

Answer

$$\frac{31}{66}$$

Answer

$$\frac{5}{33}$$

Question 16

of the 120 first year students at a college, 36 study chemistry, 60 study biology and 10 study both chemistry and biology. A first year student is selected at random to represent the college at a conference. Find the probability that the student studies biology, given that the student studies chemistry.

Accepted Answer

$$\frac{5}{18}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{12}$$

Question 17

of the 120 first year students at a college, 36 study chemistry, 60 study biology and 10 study both chemistry and biology. A first year student is selected at random to represent the college at a conference. Find the probability that the student studies chemistry, given that the student studies biology.

Accepted Answer

$$\frac{1}{6}$$

Answer

$$\frac{5}{18}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{12}$$

Question 18

There are 5 red counters and 7 blue counters in a bag. Darian takes a counter from the bag, puts it on the table and then takes another counter from the bag. Find the probability that he takes out two counters that are the same color.

Accepted Answer

$$\frac{31}{66}$$

Answer

$$\frac{28}{33}$$

Answer

$$\frac{35}{132}$$

Answer

$$\frac{5}{33}$$

Question 19

There are 5 red counters and 7 blue counters in a bag. Darian takes a counter from the bag, puts it on the table and then takes another counter from the bag. Find the probability that he takes out at least one red counter.

Accepted Answer

$$\frac{28}{33}$$

Answer

$$\frac{31}{66}$$

Answer

$$\frac{35}{132}$$

Answer

$$\frac{5}{33}$$

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