Probability - Expected Values

A fair, 6-sided dice is thrown 120 times.

Roughly how many times would you expect the number 5 to come up?

• 6

• 10

• 12

• 20

A fair, 6-sided dice is thrown 18 times.

Roughly how many times would you expect the number 6 to come up?

• 1

• 3

• 6

Sam’s pencil case contains 3 red, 2 blue and 5 black pens.

He takes a pen out without looking then puts it back 100 times.

Roughly how many times would you expect him to pick up a red pen?

• 10

• 20

• 30

• 50

Sam’s pencil case contains 3 red, 2 blue and 5 black pens.

He takes a pen out without looking then puts it back 500 times.

Roughly how many times would you expect him to pick up a blue pen?

• 50

• 100

• 200

A box contains 12 red, 20 green and 8 yellow sweets.

One is picked out at random then placed back 80 times.

Roughly how many times would you expect him to pick up a yellow sweet?

• 8

• 12

• 16

• 24

A spinner has 5 sections with the following numbers on it:

3 4 4 5 6

Each section is equally likely.

It is spun 75 times.

Roughly how many times would you expect him the spinner to land on 4?

• 5

• 15

• 25

• 30

The probability of Cheryl winning a 5km race is 1/4.

Cheryl runs the parkrun 5km race every Saturday for 20 weeks.

Roughly how many times would you expect her to win the 5km race?

• 4

• 5

• 10

The probability that it will rain for the next 2 weeks is 5/7.

Roughly how many days would you expect it to rain in the next 2 weeks?

• 2

• 4

• 5

• 10

A family has 8 children.

There is a 50/50 chance each time that the child is a boy.

Roughly how many girls do you think the family has?

• 2

• 4

• 6

• 8

A fair spinner has four sections labelled

1 3 5 7

The spinner is spun 48 times.

Roughly how many times would you expect the spinner to land on 1?

• 4

• 10

• 12

• 20