The probability scale

Freya has four cards. There is a number on each card.

Freya is going to pick at random one of these cards.

Circle the word in the box below that best describes the likelihood that Freya will pick a card with the number 5 on it.

impossible unlikely evens likely certain

On the probability scale below, mark with a cross (×) the probability that Freya will pick a card with a number less than 6 on it.

Ishani has six cards each with a number on it. Four of these numbers are shown below.

When she picks at random one of the six cards, the probability that she picks a card with

Write a number on each of the blank cards to show one possible set of six cards that Ishani could have.

Here is a biased 5-sided spinner. When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow.

The table gives information about the probability of the spinner landing on each colour.

Sophie spins the spinner once.

Work out the probability that the spinner lands on blue or on green or on purple.

Max spins the spinner 350 times.

Work out an estimate for the number of times the spinner lands on red.

Here is a biased 5-sided spinner. When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow.

The table gives information about the probability of the spinner landing on each colour.

Sophie spins the spinner once.

Work out the probability that the spinner lands on blue or on green or on purple.

Max spins the spinner 350 times.

Work out an estimate for the number of times the spinner lands on red.

A box contains 10 balls.

5 balls are black 3 balls are green 2 balls are red

Rema is going to take at random a ball from the box.

On the probability scale, mark with a cross () the probability that the ball is black.

On the probability scale, mark with a cross () the probability that the ball is orange.

Johan has three bags of counters, A, B and C He tries to find the probability of taking at random a white counter from each bag. He writes his probabilities in a table.

The probability that Johan writes for bag C is incorrect.

Explain how you know that it is incorrect.

The table shows information about the number of school lunches each of 30 students had in one week.

Work out the mean number of school lunches.

The probability that Alex takes a packed lunch to school is 0.79

Work out the probability that Alex does not take a packed lunch to school.

A café sells 4 different types of cake.

carrot (C) fruit (F) lemon (L) madeira (M)

Nala is going to choose 2 different types of cake.

Write down all the possible combinations she can choose.

The two-way table gives some information about the flavours of ice creams sold by the café on Saturday and on Sunday.

Complete the two-way table.

Nala asks 100 students whether they prefer cake or ice cream.

33 of the students prefer cake.

One of the 100 students is chosen at random.

Find the probability that this student does not prefer cake.

There are 8 counters in a bag.

6 of these counters are orange. The rest of the counters are purple.

Delilah takes at random a counter from the bag.

On the probability scale below, mark with a cross (×) the probability that the counter is orange.

On the probability scale below, mark with a cross (×) the probability that the counter is yellow.

The diagram shows a fair spinner with six sections.

Three sections are red, two sections are blue and one section is yellow.

The spinner is spun once.

Write down a word from the box to describe the likelihood that the spinner lands on yellow.

On the probability scale, mark with a cross () the probability that the spinner lands on green.

Here are 8 number cards. 3 of the number cards are blank.

Hugo is going to take at random one of these cards.

Write a number on each of the 3 blank cards so that the probability that Hugo picks a card with an odd number is

Here are 6 counters. Each counter has a number on it.

Finn takes at random one of these counters.

Select with a tick () the word that best describes the likelihood that Finn takes a counter with the number 2 on it.

Select with a tick () the word that best describes the likelihood that Finn takes a counter with the number 3 on it.

Select with a tick () the word that best describes the likelihood that Finn takes a counter with a number greater than 4 on it.

Adam has 8 packets of noodles. Here is the flavour of noodles in each packet.

Adam takes at random a packet of noodles.

On the probability scale, mark with a cross () the probability that Adam takes a packet of Hot and Spicy noodles.

Circle the word that best describes the likelihood that Adam takes a packet of Vegetarian noodles.

Belinda asks 20 people to name the type of rice that they each like the best.

Here are her results.

arborio jasmine basmati jasmine basmati basmati arborio wild jasmine jasmine jasmine jasmine arborio basmati basmati wild basmati jasmine wild arborio

Complete the frequency table for Belinda’s results.

Some members of a library were asked to name the type of book that they each liked to read the best.

One of the members is chosen at random. The table shows information about the probability of the type of book that this member answered.

48 members answered comedy books.

Work out how many of the members answered mystery books.

Here is a probability scale.

In a fruit bowl, there are only

3 bananas 7 pears

Shimon is going to take at random one of the fruits from the bowl.

Write down the letter of the arrow that points to the probability that Shimon takes

a pear,

a grape.

Emma has some carrots, some potatoes and some onions in a bag. She says that the probability of taking at random a carrot from the bag is 1.4

Emma is not correct.

Explain why.

The table gives information about the number of gold stars won by each of 25 students in class 7T last week.

Work out the mean number of gold stars won.

A student in class 8R is to be chosen at random.

The probability that this student won at least one gold star last week is 0.39

Work out the probability that this student did not win at least one gold star last week.

Here is a biased spinner.

When the spinner is spun once, the probabilities that it lands on red or on yellow or on green are given in the table.

Work out the probability that the spinner lands on red or on yellow.

Yang is going to spin the spinner 300 times.

Work out an estimate for the number of times the spinner will land on purple.

Mario is going to play two games on Saturday. He will play one game on Saturday morning and one game on Saturday afternoon.

The following table shows the games from which he is going to choose.

Write down all the possible combinations of games that Mario can play on Saturday.

Mario asked 100 students in his school to name their favourite card game.

His results are shown in the two‑way table below.

One of the students Mario asked is picked at random.

Write down the probability that this student is in Year 11

One of the Year 10 students is picked at random.

Work out the probability that this student did not answer Whist.

A bag contains only pink sweets, white sweets, green sweets and red sweets.

The table gives each of the probabilities that, when a sweet is taken at random from the bag, the sweet will be green or the sweet will be red.

The ratio number of pink sweets: number of white sweets = 2: 1

There are 28 red sweets in the bag.

Work out the number of white sweets in the bag.

Sandeep is designing some 3‑sided spinners.

He is going to spin each spinner once.

Write a different number on each dotted line so that when the spinner is spun it is impossible that the spinner will land on a number greater than 9

Write a different number on each dotted line so that when the spinner is spun it is certain that the spinner will land on a multiple of 10

The likelihood of an outcome is evens.

On the probability scale, mark with a cross (X) the probability of this outcome.

0 0.5 1

Caroline has a bag containing 10 counters.

In the bag there are

7 red counters 2 blue counters 1 green counter

Caroline is going to choose at random a counter from the bag.

Write down the word from the box that best describes the likelihood that Caroline will take

a red counter,

a yellow counter.

Jamil is going to roll a fair six‑sided dice.

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

On the probability scale, mark with a cross (X) the probability that the dice will land on 2

A bag contains 30 coloured counters. The table gives the number of counters of each colour.

One of the counters is taken at random from the bag.

Write down the probability that this counter is green.

Write down the probability that this counter is not red.

There are 12 beads in a bag.

6 of the beads are green 4 of the beads are blue 2 of the beads are pink

Peter takes at random a bead from the bag.

Circle the word in the list below that best describes the likelihood that the bead is green.

impossible unlikely evens likely certain

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

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

On the probability scale, mark with a cross (X) the probability that the bead is green or pink.

Write down all the possible combinations that Mohsen can choose.

Find the probability that Mohsen chooses the red shirt to wear to the party.

There are 20 counters in a bag.

4 of the counters are pink. 9 of the counters are white. The rest of the counters are black.

Jean takes at random one counter from the bag.

Work out the probability that Jean takes a black counter.

Steffi is going to play one game of tennis and one game of chess.

The probability that she will win the game of tennis is 0.6 The probability that she will win both games is 0.42

Work out the probability that she will not win either game.

There are 25 pens in a packet. 7 of the pens are green. 10 of the pens are black. The rest of the pens are red. Jurgen takes at random a pen from the packet.

Find the probability that

the pen is black,

the pen is red.

Heidi records the number of packets of pens sold in her shop to each customer last Friday. The table shows information about her results.

Write down the mode of the number of packets.

Work out the total number of packets of pens sold last Friday.

A bag contains only red beads, blue beads, green beads and yellow beads.

The table gives the probabilities that, when a bead is taken at random from the bag, the bead will be blue or the bead will be yellow.

The probability that the bead will be green is twice the probability that the bead will be red.

Sofia takes at random a bead from the bag. She writes down the colour of the bead and puts the bead back into the bag.

She does this 180 times.

Work out an estimate for the number of times she takes a red bead from the bag.

The diagram shows a fair 6-sided spinner.

Rami is going to spin the spinner once.

Circle the word in the box below that best describes the likelihood that the spinner will land on green.

On the probability scale below, mark with a cross (×) the probability that the spinner will land on blue.

On the probability scale below, mark with a cross (×) the probability that the spinner will land on yellow.