# Exam-Style Question on Probability

## A mathematics exam-style question with a worked solution that can be revealed gradually

##### List Of QuestionsExam-Style QuestionMore Probability QuestionsMore on this Topic

Question id: 706. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.

At an international conference there were 300 delegates from both the northern and southern hemispheres. Each delegate wore a t-shirt in one of three different colours:

• Red for the Millennials (also known as Generation Y), birth years: 1981–1996
• Blue for Generation Z (also known as Gen Z or Zoomers), birth years: 1997–2012
• Green for Generation Alpha, birth years: 2013–2025

The table gives some information about the delegates.

T-shirt colour Total
Red Blue Green
Northern 76 190
Southern 36 25 110
Total 105 101 300

(a) Complete the table.

(b) Find the probability that one of these delegates chosen at random wears a red t-shirt.

(c) Two of these delegates are chosen at random.

Find the probability that they are both from the southern hemisphere.

(d) Two of the delegates from the southern hemisphere are chosen at random.

Find the probability that they both were born after 2012.

(e) Two of the Generation Z delegates are chosen at random.

Find the probability that one is from the northern hemisphere and the other is from the southern hemisphere.

 The worked solutions to these exam-style questions are only available to those who have a Transum Subscription. Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves. This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures. A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.

Drag this panel down to reveal the solution

If you need more practice try the self-checking interactive exercises called Probability.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

Search for exam-style questions containing a particular word or phrase:

To search the entire Transum website use the search box in the grey area below.