Free · No sign-up · Year 11 · Maths · Probability

Free Year 11 Probability Quiz — 9 Questions, Instant Results

Want to know whether probability is secure at Year 11 level? Answer 9 questions here, see the score and the correct answers straight away, and then try a new set. Everything is free, part of 3,261 free practice questions RHZ Tutoring publishes, and nothing about your child is collected.

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Free practice quizzesYear 11 Maths (VCE) quiz › Probability

Probability in Year 11 maths

Here is the ground the questions cover. Year 11 probability moves to formal rules: addition and multiplication rules, Venn diagrams and tables, tree diagrams for sequential events, conditional probability and independence, and probability from counting.

The items are tagged to the VCE study design for Year 11, so a score here reflects the standard a Year 11 class is working to, not a generic online level.

Mistakes we see most often in probability

A wrong answer is more useful than a right one if you know why it happened. In sessions with Year 11 students, these are the patterns our tutors see most:

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

Ways to build probability at Year 11

If the quiz shows a gap, more of the same worksheets rarely fixes it. Try these instead:

  1. Simulate with coins and dice and compare with theory.
  2. Write the condition in words before applying a formula.
  3. Draw a tree diagram for every two-step problem.

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.

About the questions on this page

Every set on this page is a seeded selection of 9 from the 9 probability questions that pass our quality gate. A different seed gives a different set, and there are many more combinations than any one student will need. The correct answers never appear in the page source; the browser asks our server for them after you press Mark my answers.

Because every question here is on probability, a low score is a clear signal and a high score is genuinely reassuring for this topic. What it cannot tell you is whether the other Year 11 maths topics are equally secure, or how far above the year level the student can go; the free Skills Check covers both.

The quiz: 9 questions

Choose one answer for each question, then press Mark my answers. Set 11873 · New set of questions →

Question 1
Probability

P(A and B)=0.15, P(B)=0.5. P(A|B)?

Question 2
Probability

Two dice rolled. P(both even) is?

Question 3
Probability

P(A) = 0.25. P(not A) is?

Question 4
Probability

P(rolling a 2 on a die) is?

Question 5
Probability

A bag has 3 red, 7 blue. P(red) is?

Question 6
Probability

P(A)=0.3, P(B)=0.2, mutually exclusive. P(A or B)?

Question 7
Probability

Suppose P(A) = 0.7, P(B) = 0.4, and A and B are independent. What is P(A ∪ B)?

Question 8
Probability

P(A)=0.5, P(B)=0.6, independent. P(A and B)?

Question 9
Probability

P(tails on a coin) is?

How to read a score out of 9

9 or 10 out of 10 (scaled to 9)
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 (scaled to 9)
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 (scaled to 9)
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 (scaled to 9)
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 Maths 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 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 9 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 nowhere else. There are 9 eligible questions on this topic in our Year 11 Maths bank, so several different sets are available before any repeat.

Where do the probability questions come from?

From RHZ Tutoring's own Year 11 Maths 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 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 Maths quiz?

Yes. The Year 11 Maths 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 Maths topics for Year 11

Mixed Year 11 Maths (VCE) quiz (all topics) →

Probability in other year levels

Year 8 Probability

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