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Free Year 11 Probability & statistics Quiz — 10 Questions, Instant Results

This free Year 11 probability and statistics quiz asks 10 multiple-choice questions on one topic only, drawn from 11 tutor-checked items, and marks them the moment you press submit. It is part of RHZ Tutoring's bank of 3,261 free practice questions: no sign-up, no email, no download.

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✅ VCE study design aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 11 Mathematical Methods quiz › Probability & statistics

Probability & statistics at Year 11: what the curriculum expects

In Units 1 and 2 probability covers sample spaces, Venn diagrams, conditional probability, independence, tree diagrams and counting methods.

This topic sits inside the VCE study design for Year 11 Mathematical Methods; the questions stay at the easy and at-level tiers so the result is a fair check of the foundations.

Common probability and statistics misconceptions tutors see

The distractors in this quiz are built from real misconceptions rather than random wrong numbers, so a specific wrong answer usually points to a specific gap. The ones we see most at Year 11:

Spotting which one applies is the useful part; the fix is usually quick once the misunderstanding is out in the open.

Practising probability and statistics with a Year 11 student

The habits that move probability and statistics from shaky to secure at Year 11:

  1. Draw tree diagrams for sequential events.
  2. Practise identifying binomial situations.
  3. Use the CAS for normal probabilities and sketch the region.

At VCE, practise by hand for Exam 1 and with the CAS for Exam 2, use past papers under time and mark against the examiners' reports. Fix the errors the same week.

How the 10 questions are chosen

The 10 questions are drawn from 11 eligible items on probability and statistics in our Year 11 Mathematical Methods bank, all at the easy and at-level tiers. The selection is fixed for this address so a shared link shows the same quiz; press New set of questions or add ?seed= to the address for a different mix. Options are shuffled, no two questions share a stem, and the answer key is fetched from our server only after you submit, so it is not hidden in the page.

Use this page to answer one question well: is probability and statistics secure at Year 11 level? For the broader picture across every topic and every difficulty tier, the free Skills Check takes about fifteen minutes and produces a report a tutor walks you through.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 75082 · New set of questions →

Question 1
Probability & statistics

Two coins tossed. P(exactly one head) is?

Question 2
Probability & statistics

A continuous random variable X has probability density function f(x) = a + bx for 0 ≤ x ≤ 1, and f(x) = 0 otherwise. Given that E(X) = 7/12, find the value of a.

Question 3
Probability & statistics

A discrete random variable X has E(X) = 2 and Var(X) = 3. A new variable Y = 4X − 1 is defined. What is the standard deviation of Y?

Question 4
Probability & statistics

P(A) = 0.3. P(not A) is?

Question 5
Probability & statistics

The mean of 2, 4, 9 is?

Question 6
Probability & statistics

The median of 3, 8, 5, 12, 7 is?

Question 7
Probability & statistics

A game pays $3 with probability 1/3, else $0. Expected value is?

Question 8
Probability & statistics

P(rolling a 6 on a fair die) is?

Question 9
Probability & statistics

A bag contains 4 red and 6 blue marbles. Two marbles are drawn without replacement. What is the probability that both marbles are the same colour?

Question 10
Probability & statistics

P(A and B)=0.2, P(B)=0.5. P(A given B) is?

How to read a score out of 10

9 or 10 out of 10
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 11 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.

Start the free Skills Check →

2. Printable practice with answers

Our Year 11 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.

Browse practice papers →

3. Tutoring in Melbourne's west or online

Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.

See Mathematical Methods tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 11 probability and statistics quiz free?

Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.

Why only 10 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in probability and statistics and nowhere else. There are 11 eligible questions on this topic in our Year 11 Mathematical Methods bank, so several different sets are available before any repeat.

Where do the probability and statistics questions come from?

From RHZ Tutoring's own Year 11 Mathematical Methods question bank, written to the VCE study design, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in probability and statistics are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.

Is there a mixed Year 11 Mathematical Methods quiz?

Yes. The Year 11 Mathematical Methods quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.

Other Mathematical Methods topics for Year 11

Mixed Year 11 Mathematical Methods quiz (all topics) →

Probability & statistics in other year levels

Year 12 Probability & statistics

All 3,261 free practice questions, Prep to Year 12 →