Free Printable Review Counting and probability

1.

If a job contains two tasks and there are m ways of doing the first task and n ways of doing the second task after that, then there are ......... ways to finish the job.

a)

$m+n$

b)

$m-n$

c)

$m\times n$

d)

$m\div n$

2.

How many ways are there to arrange 4 students in a row?

a)

12

b)

4

c)

48

d)

24

3.

How many ways are there to arrange 3 boys and 2 girls such that 2 girls are not next to each other?

a)

$5$

b)

$6$

c)

$3!\times2\times1$

d)

$5!$

4.

Linda has 6 can of paints with different colours. She want to make new colours by mix two colours together. How many new colours can she make?

a)

$6!$

b)

$C\left(8,\ 2\right)$

c)

$C\left(6,\ 2\right)$

d)

$P\left(6,\ 2\right)$

5.

How many ways are there to arrange the letters of BANANA?

a)

$6!$

b)

$6!\div3!$

c)

$6!\div3!\div2!$

d)

$7!\div3!\div2!$

6.

How many 3-digit numbers are there knowing that the all the digits are different?

a)

$10\times9\times8$

b)

$9\times9\times8$

c)

$9\times7\times8$

d)

$9\times10\times10$

7.

In how many ways can 4 balls be chosen from 2 red balls, 3 blue balls and 5 green balls to include at least 1 green ball ?

a)

$C\left(10,\ 4\right)-C\left(5,\ 4\right)$

b)

$C\left(9,\ 4\right)-C\left(5,\ 4\right)$

c)

$C\left(10,\ 4\right)+C\left(5,\ 4\right)$

d)

$C\left(9,\ 4\right)+C\left(5,\ 4\right)$

8.

How many triangles are there in the picture below?

a)

21

b)

22

c)

23

d)

24

9.

A fair six-sided dice is rolled twice. What is the probability that the first number that comes up is less than or equal to the second number?

a)

$\frac{5}{9}$

b)

$\frac{17}{6}$

c)

$\frac{17}{36}$

d)

$\frac{21}{36}$

10.

Ten tiles numbered from 1 to 10 are turned face down. One tile is turned up randomly and a dice is rolled. What is the probability that the product of the numbers on the tile and the dice will be a square number?

a)

$\frac{11}{60}$

b)

$\frac{11}{36}$

c)

I need to review :)

Review Counting and probability

Total questions: 10

Worksheet time: 6mins

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