Probability from two-way tables Problem set A

The table shows the tickets sold at a museum in one week. One visitor is chosen at random. Find the probability that:

1. (a) the visitor bought a senior ticket;
2. (b) the visitor came on a weekday.

The table shows the phone type and year group of the students in Years 7 to 9 who answered a survey. One student is chosen at random. Find the probability that the student:

1. (a) has an iPhone and is in Year 8;
2. (b) has an Android phone or is in Year 9 (or both).

The table shows the favourite sport and the gender of the members of a youth club.

1. (a) One member who has tennis as a favourite is chosen at random. Find the probability that this member is a girl.
2. (b) One member who is a boy is chosen at random. Find the probability that this member has swimming as a favourite.

The table shows the colour and size of the shirts in a shop. One shirt that is medium is chosen at random. Find the probability that this shirt is blue.

The table shows the clubs joined by the students of a sixth form. There are 120 students in all, and the number in the Drama row, Year 12 column is k.

1. (a) Find the value of k.
2. (b) One student is chosen at random. Find the probability that the student joined drama.
3. (c) One student who is in Year 13 is chosen at random. Find the probability that this student joined robotics.

The table shows how the staff and students of a college travel in. One person is chosen at random.

1. (a) Find the probability that the person does not cycle.
2. (b) Given that the person does not cycle, find the probability that the person is a student.

One hundred and twenty students sat a driving theory test. The table is partly filled in.

1. (a) Copy the table and find the missing numbers.
2. (b) One student is chosen at random. Find the probability that the student passed and did not revise.
3. (c) One student who revised is chosen at random. Find the probability that this student failed.