Existing user?
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Jack is buying a new bike.
He must choose one frame colour and one size.
Frame colour: red, blue, black, silver
Size: small, medium
Write down all the possible combinations Jack can choose.
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60 people went to a cinema on Monday evening.
Each person watched either Film A or Film B.
The two-way table gives some information about these people.
| Film A | Film B | Total | |
|---|---|---|---|
| Adult | 18 | 14 | 32 |
| Child | 21 | 7 | 28 |
| Total | 39 | 21 | 60 |
One of the 60 people is chosen at random.
Write down the probability that this person is a child who watched Film B.
One of the adults is chosen at random.
Write down the probability that this adult watched Film A.
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90 students took a science test.
The frequency tree shows information about these students.
Write down the total number of students who passed the test.
One of the 90 students is chosen at random.
Write down the probability that this student is in Year 10 and did not pass the test.
One of the Year 11 students is chosen at random.
Write down the probability that this student passed the test.
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A youth club has 84 members.
48 of the members are girls.
27 of the girls play in the band.
20 of the boys do not play in the band.
Use this information to complete the two-way table.
| Girls | Boys | Total | |
|---|---|---|---|
| Plays in the band | |||
| Does not play in the band | |||
| Total |
One of the 84 members is chosen at random.
Write down the probability that this member is a boy who plays in the band.
One of the girls is chosen at random.
Write down the probability that this girl does not play in the band.
Do not use a calculator for this question.
150 people visited a museum on Saturday.
60 of the people were adults and the rest were children.
Each person paid by card or paid by cash.
45 of the adults paid by card.
25 of the children paid by cash.
Use this information to complete the frequency tree.
One of the 150 people is chosen at random.
Work out the probability that this person paid by card.
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ξ = {even numbers from 2 to 20}
A = {4, 8, 12, 16, 20}
B = {6, 12, 18}
Complete the Venn diagram to represent this information.
A number is chosen at random from the universal set, ξ.
Work out the probability that the number is in the set A∪B.
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The Venn diagram shows the numbers 1 to 12 placed in two sets.
A = {factors of 12}
B = {multiples of 3}
List the members of the set A∩B.
Write down the value of n(A∪B).
List the members of the set B′.
A number is chosen at random from the universal set, ξ.
Write down the probability that the number is in the set (A∪B)′.
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80 students in Year 9 and Year 10 each study one language.
The two-way table shows some information about these students.
| French | German | Spanish | Total | |
|---|---|---|---|---|
| Year 9 | 18 | 11 | 16 | 45 |
| Year 10 | 14 | 12 | 35 | |
| Total | 32 | 28 | 80 |
Complete the two-way table.
One of the 80 students is chosen at random.
Write down the probability that this student studies French.
One of the Year 10 students is chosen at random.
Find the probability that this student studies Spanish.
Do not use a calculator for this question.
There are 40 students in a music club.
Each student may play the piano, or the guitar, or both, or neither.
P = {students who play the piano}
G = {students who play the guitar}
24 of the students play the piano.
17 of the students play the guitar.
31 of the students play at least one of these two instruments.
Use this information to complete the Venn diagram. Write the number of students in each region.
One of the 40 students is chosen at random.
Write down the probability that this student is in the set G′.
One of the students who play the piano is chosen at random.
Find the probability that this student also plays the guitar.