Unit 4: Statistics and Probability
Topic 4.5: Probability Fundamentals Questions
Practice 16 exam-style questions for IB Math AA SL Topic 4.5. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Find2 marks
2026• Aimnova practice — 4.5.2
The probability a bus is late on a given day is 0.15. Over a 40-day period:
Markscheme and model answer locked
Unlock Question2Find2 marks
2026• Aimnova practice — 4.5.1
A bag contains 6 red, 4 yellow and 2 green sweets. One is chosen at random.
Markscheme and model answer locked
Unlock Question3List2 marks
2026• Aimnova practice — 4.5.1
Two fair coins are tossed. List the sample space and find the probability of exactly one head.
Markscheme and model answer locked
Unlock Question4Find2 marks
2026• Aimnova practice — 4.5.1
In a class of 30 students, 12 study art and the rest do not. A student is chosen at random. Find the probability the student does not study art.
Markscheme and model answer locked
Unlock Question5Find2 marks
2026• Aimnova practice — 4.5.1
A spinner has 8 equal sectors numbered 1–8. It is spun once.
Markscheme and model answer locked
Unlock Question6Find2 marks
2026• Aimnova practice — 4.5.2
The probability a seed germinates is 0.85. A gardener plants 200 seeds. Find the expected number that germinate.
Markscheme and model answer locked
Unlock Question7Find2 marks
2026• Aimnova practice — 4.5.2
A bag has 3 red and 9 green balls. One is drawn, its colour noted, and replaced; this is repeated 48 times. Find the expected number of reds.
Markscheme and model answer locked
Unlock Question8Find2 marks
2026• Aimnova practice — 4.5.2
Items from a machine are faulty with probability 0.03. In a day it makes 1500 items. Find the expected number of faulty items.
Markscheme and model answer locked
Unlock Question9Find2 marks
2026• Aimnova practice — 4.5.2
A spinner has 5 equal sectors: 2 blue, 2 red, 1 yellow. It is spun 60 times. Find the expected number of yellows.
Markscheme and model answer locked
Unlock Question10Find2 marks
2026• Aimnova practice — 4.5.2
Two fair coins are tossed 80 times. Find the expected number of times exactly two heads appear.
Markscheme and model answer locked
Unlock Question11Find2 marks
2026• Aimnova practice — 4.5.2
A fair die is rolled 90 times. Find the expected number of times a number greater than 4 appears.
Markscheme and model answer locked
Unlock Question12Find3 marks
2026• Aimnova practice — 4.5.1
A bag has 4 red and 5 blue tokens. Three are drawn without replacement. Find the probability all three are blue.
Markscheme and model answer locked
Unlock Question13Find3 marks
2026• Aimnova practice — 4.5.2
In a game, a player wins $4 with probability 0.25 and loses $2 otherwise. Find the expected gain per game.
Markscheme and model answer locked
Unlock Question14Find2 marks
2026• Aimnova practice — 4.5.1
A fair coin is tossed three times. Find the probability of getting at least one head.
Markscheme and model answer locked
Unlock Question15Find2 marks
2026• Aimnova practice — 4.5.1
Two fair dice are rolled and the scores added. Find the probability the total is 9.
Markscheme and model answer locked
Unlock Question16Find2 marks
2026• Aimnova practice — 4.5.1
A box has 5 white and 3 black marbles. Two are drawn without replacement. Find the probability both are white.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 4.5?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.