Introduction to probability

The chance of rain tomorrow is 0.35.

Feb/March 2018

Calculate the probability that tomorrow will not be sunny.

Feb/March 2019

The chance that Jamie hits a target is $\frac{1}{3}$. The chance that he lands a hit on the target for the first time on his $n$th attempt is $\frac{64}{2187}$.

Feb/March 2023

A car park contains 20 cars, and 3 of them are blue.

Feb/March 2024

Priyanka takes part in a game that can end in a win, lose or draw. The table lists the probabilities for winning and losing a game. Outcome of game: win, lose, draw. Probability: win 0.3, lose 0.25, draw blank.

Feb/March 2025

A loaded 4-sided dice is thrown. The outcomes can be 1, 2, 3 or 4. The table gives the probability of getting a 1, 3 or 4.

May/June 2015

Paul and Sammy compete in a race. The probability of Paul winning the race is $\frac{9}{35}$. The probability of Sammy winning the race is 26%.

May/June 2015

A biased 4-sided dice is rolled. The outcomes can be 1, 2, 3 or 4. The probability of getting a 1, 3 or 4 is listed in the table.

May/June 2015

Among a group of students, the probability that a student is left-handed is 0.28. A student is picked at random from the group. Find the probability that this student is not left-handed.

May/June 2016

Draw an arrow to represent the probability that the counter is blue.

May/June 2016

Hattie has a box of coloured pens. She chooses one pen at random from the box. The probability that she chooses a red pen is 0.4.

May/June 2016

Joel uses a fair spinner with five equal sectors labelled 2, 3, 4, 5 and 6.

May/June 2016

Find the probability that Stephanie will not win her next tennis match.

May/June 2017

Find the probability that Stephanie fails to win her next tennis match.

May/June 2017

Find the probability that the chosen ball is green.

May/June 2018

A bag contains only green balls and red balls. One ball is selected at random from the bag. The probability of selecting a green ball is 0.38.

May/June 2019

Find the probability that Alex does not win a prize.

May/June 2019

The diagram presents five cards numbered 1, 2, 3, 4 and 5. Two cards are then selected at random, without replacement.

May/June 2019

The chance that a train arrives late is 0.15.

May/June 2021

Jane's chance of winning the game is $\frac{7}{10}$.

May/June 2021

Francesca uses a spinner with four equal sections, labelled 1, 2, 3 and 4. The table gives some of the probabilities for each possible result.

May/June 2021

The chance that a train arrives late is 0.15.

May/June 2021

Fill in the table.

May/June 2021

A spinner with 4 sides is labelled 1, 2, 3 and 4. The table gives the probabilities that the spinner lands on 1, 2 and 4.

May/June 2022

Calculate the probability of not choosing a red sweet.

May/June 2022

Each card shows either a square, a circle, or a triangle. Piet picks one card at random.

May/June 2022

Work out the probability that a red sweet is not selected.

May/June 2022

Eric has four paint colours. The table gives the probability that he uses each colour.

May/June 2023

A spinner is spun once. The outcomes may be A, B, C or D. The table lists the probabilities for A, C or D. The values are: A = 0.2, B = blank, C = 0.05, D = 0.35.

May/June 2023

Eric has four paint colours. The table lists the chance that he uses each colour.

May/June 2023

A spinner is set spinning. The possible results are A, B, C or D. The probability of landing on A, C or D is given in the table. The table gives: Spinner letter: A, B, C, D Probability: 0.2, [blank], 0.05, 0.35

May/June 2023

A spinner has five sides. The five sides are coloured red, blue, green, yellow and orange. The table gives some of the probabilities that the spinner will land on each colour.

May/June 2023

Geetha has a box full of toys. She chooses one toy at random from the box. The probability that the toy she chooses is wooden is $0.6$.

May/June 2024

Find the probability that it will not rain today in this city.

May/June 2024

Geetha owns a box filled with toys. She selects one toy at random from the box. The probability that the toy is wooden is 0.6.

May/June 2024

In this city, the chance that rain will fall today is 0.15.

May/June 2024

The probability of selecting a green pen from a box is 0.17. Find the probability that a green pen is not selected from the box.

May/June 2025

A tin holds red, yellow, green and brown sweets. The table gives some probabilities for selecting a sweet of each colour at random. Red: 0.68 Yellow: Green: 0.05 Brown: 0.14

May/June 2025

In the bag of counters, 6 counters are blue. On the probability scale, the arrow (↓) indicates the chance of choosing a blue counter at random. The probability scale runs from 0 to 1, with 0.5 shown at the centre.

May/June 2025

On any day, the likelihood that the weather is sunny is 0.7.

May/June 2025

Chico has a bag of sweets, and one sweet is chosen from it at random. The table gives the probabilities of selecting each sweet flavour.

Oct/Nov 2015

State the colour she is most likely to choose.

Oct/Nov 2015

ELEPHANT. Francesca picks one letter from this word at random.

Oct/Nov 2016

A bag holds 20 counters in total. Of these, 10 are red, 8 are blue and the remainder are yellow. A single counter is chosen from the bag at random.

Oct/Nov 2016

Work out the probability that the chosen counter is blue.

Oct/Nov 2016

Bastian has a bag with four different kinds of sweet inside. He chooses one sweet from the bag at random.

Oct/Nov 2017

A bag holds 16 counters. 3 are red, 6 are blue, and the rest are yellow. Jay chooses a counter from the bag at random.

Oct/Nov 2017

Bag A has 20 counters altogether. 6 are red, 9 are blue, and the rest are white. Jared chooses one counter at random.

Oct/Nov 2017

A bag holds $50$ counters, and $10$ of them are red. A counter is then chosen at random from the bag.

Oct/Nov 2018

Mark the probability scale with an arrow (↓) to show the chance of selecting a blue counter.

Oct/Nov 2018

Ethan owns a box filled with toys, and he picks one toy at random.

Oct/Nov 2018

A bag contains only 3 green balls, 4 red balls and 1 blue ball. Matt selects one ball from the bag at random. Some probabilities are indicated on the probability scale. The scale has letters A, B, C, D, E, F, G, H, I placed at equal intervals between 0 and 1, with 0.5 marked in the middle.

Oct/Nov 2019

A bag contains 6 red balls and 10 blue balls only. On the probability scale, draw an arrow to show the probability that a ball chosen at random is:

Oct/Nov 2019

The diagram displays 5 cards. The dots on the cards are, in order, 3 dots, 2 dots, 4 dots, 2 dots, and 2 dots.

Oct/Nov 2019

There are 20 balls in a bag, and 5 of them are red. One ball is chosen at random from the bag.

Oct/Nov 2020

There are 32 students in the class. 5 of them do not study any language. 15 study German ($G$). 18 study Spanish ($S$).

Oct/Nov 2020

Find the probability that the flower is yellow.

Oct/Nov 2021

Cheng uses a fair 6-sided spinner labelled 1 to 6. The probability scale displayed runs from 0 to 1 in equal intervals.

Oct/Nov 2021

The chance that it rains tomorrow is $0.47$.

Oct/Nov 2021

Katy has 5 white flowers, $x$ red flowers and $(2x+1)$ yellow flowers. She chooses a flower at random. The chance that it is white is $\frac{1}{12}$.

Oct/Nov 2021

Mario examines new cars. The probability that a car is faulty is $0.04$.

Oct/Nov 2022

A dice with 4 faces is labelled 1 to 4. The table gives some of the probabilities of obtaining each number.

Oct/Nov 2022

Regan is taking part in a game that uses these six number cards: $-3, -2, 2, 3, 5, 7$.

Oct/Nov 2022

A bag has 6 red balls, 4 green balls and 2 blue balls. Zia selects a ball from the bag at random. A probability scale is displayed from 0 to 1, with points marked A, B, C, D, E, F, G.

Oct/Nov 2024

A bag has red balls and green balls in it. The ratio of red balls : green balls is 2 : 3. One ball is chosen at random.

Oct/Nov 2025

A bag holds 8 discs numbered from 1 to 8, and one disc is chosen at random from the bag.

Oct/Nov 2025

A fitness club contains 100 members. 60 swim (S). 70 cycle (C). 25 do not swim or cycle.

Oct/Nov 2025

Mahir first selects a number at random from 5, 10 and 15. He then selects a number at random from 4, 5 and 6. After that, he adds the two numbers together.

Oct/Nov 2025

The bag has 6 red balls, 4 green balls and 2 blue balls inside it. Zia chooses a ball from the bag at random. The diagram shows a probability scale, labelled A to G, from 0 to 1.

Oct/Nov 2025

The diagram illustrates a fair 5-sided spinner. It is spun once. The sectors are coloured red, white, blue, red, white.

Oct/Nov 2025