The probability scale

Chiara spins a fair 8‑sided spinner.

Circle the word from the list that best describes the likelihood that the spinner lands on a 5

certain evens likely impossible unlikely

On the probability scale, mark with a cross (×) the probability that the spinner lands on a 4

On the probability scale, mark with a cross (×) the probability that the spinner lands on an even number.

Write down the probability that the spinner lands on a 3

Chiara spins the spinner a total of 80 times.

Work out the expected number of times the spinner will land on a 3

David has 10 cards each with a single letter on it as shown.

A card is picked at random.

Underline the word from the list below that best describes the likelihood that the card has a letter A on it.

impossible certain likely evens unlikely

Complete this sentence using two different letters.

Cards with the letters_........ and_........ are equally likely to be picked.

On the probability scale below, mark with a cross (×) the probability that the card has a letter C on it.

On the probability scale below, mark with a cross (×) the probability that the card has a letter A or a letter C on it.

Jonathan has a fair 6-faced dice which has the numbers 1, 2, 3, 4, 5 and 6 on its faces.

Jonathan rolls his dice once.

On the probability scale below, mark with a cross (×) the probability that the dice will land on an odd number.

0 50% 100%

Kasia has a fair 8-faced dice which has the numbers 1, 2, 3, 4, 5, 6, 7 and 8 on its faces.

Circle the word from the list below that best describes the likelihood that the dice lands on a 9

impossible unlikely evens likely certain

Kasia rolls her dice 80 times.

Work out the number of times you would expect her dice to land on a 5

Jonathan is going to roll his dice once. Kasia is going to roll her dice once.

Is Jonathan more likely to roll a 6 than Kasia? You should justify your answer.

Rahul has a 5-sided spinner.

The spinner is a fair spinner.

Explain what the word fair means in this description of the spinner.

Rahul is going to spin his spinner once.

Underline the word from the list below that best describes the likelihood that the spinner will land on 3

impossible unlikely evens likely certain

Underline the word from the list below that best describes the likelihood that the spinner will land on 4

impossible unlikely evens likely certain

Chloe has a 6-faced dice.

She rolls the dice 60 times and records the number on which the dice lands each time.

Here is information about Chloe’s results.

Explain what the information in the table tells you about whether the dice is fair.

The following four sentences are about different events.

A The likelihood of an event is evens.

B An event is certain to happen.

C When a fair dice numbered 1 to 6 is rolled, it lands on a number greater than 2

D The next birthday of a person picked at random is on a Monday.

The number line below has arrows marking five probabilities.

Write the letter for each event on the arrow that is in the best position to show the probability of each of the four events.

Eddie has a biased coin.

He wants to find an estimate for the probability that when he throws the coin it will land Heads.

Explain briefly how he could do this.

Marisa has 6 tiles. Each tile has a number on it.

Here are Marisa’s tiles.

Marisa puts her tiles in a bag. Marisa takes at random a tile from the bag.

Underline the word from the list below that best describes the likelihood that the tile has a 2 on it.

impossible certain evens unlikely likely

Underline the word from the list below that best describes the likelihood that the tile has a number on it.

impossible certain evens unlikely likely

The probability scale below shows some probabilities marked with letters.

A B C D E F G

Write down the letter that shows the probability that the tile taken from the bag

has a 3 on it,

has a 1 or a 2 on it.

Jon is investigating the colour of the eyes of all the students at his school. He recorded the colour of the eyes of a sample of 20 students in his class.

Work out how many of these students do not have brown eyes.

One of these students is selected at random.

Describe the likelihood that this student has grey eyes.

For Jon’s investigation, which statistical term best describes all of the students at Jon’s school?

Explain whether or not Jon could use his results to determine the most common colour of the eyes of teachers in his school.

The probability scale below shows information about 7 events, each represented by a different letter.

A B C D E F G

Ruth rolls a fair 6‑sided dice once.

Complete the table.

Which word from the list below best describes the probability of event G?

A bag contains 8 coloured beads. There are 4 blue beads, 2 red beads, 1 green bead, 1 yellow bead.

A bead is picked at random from the bag.

Underline the word from the list below that best describes the likelihood that the bead is green.

impossible certain evens unlikely likely

Beads of which two colours are equally likely to be picked?

On the probability scale below, mark with a cross (X) the probability that the bead is blue.

On the probability scale below, mark with a cross (X) the probability that the bead is black.

A driving school has 40 cars.

The cars are either petrol cars or diesel cars. The cars have either a manual gearbox or an automatic gearbox.

16 of the cars have an automatic gearbox. 10 of the petrol cars have an automatic gearbox. There are 30 petrol cars.

One of the petrol cars is to be picked at random. One of the diesel cars is to be picked at random.

Derek says, “ The probability that the petrol car has a manual gearbox is greater than the probability that the diesel car has a manual gearbox”.

Is he correct? You must show working and justify your answer.