How many Probability questions are there for 9709?

This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Probability. Each links straight to instant marking against the official 9709 scheme.

How are Probability answers marked?

Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.

Where can I learn Probability first?

Start with the free Mathematics lesson on Probability, then come back and drill past-paper questions under timed conditions.

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9709 · topic questions

Probability

Mathematics12 questions

12 past-paper questions on Probability

9709/51 · May/June 20245 marks
Three digits are selected at random from the eight digits 1, 2, 2, 3, 4, 4, 4, 5. Find the probability that the three digits are…
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9709/51 · October/November 20243 marks
(b) Find the probability that the two marbles that Rahul chooses are both from bag Y given that both marbles are blue.
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9709/52 · May/June 20253 marks
Find the probability that the first marble is blue given that the second marble is red.
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9709/52 · May/June 20243 marks
Find the probability that Seva selects at least one red marble.
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9709/51 · May/June 20253 marks
Find the probability that at least 2 of the marbles chosen are blue, given that at least 1 red marble and at least 1 blue marble…
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9709/51 · May/June 20243 marks
Find the probability that Xeno scores 2 more points than Yao.
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9709/51 · October/November 20243 marks
Rahul has two bags, X and Y. Bag X contains 4 red marbles and 2 blue marbles. Bag Y contains 3 red marbles and 4 blue marbles.…
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9709/52 · May/June 20252 marks
A bag contains 4 blue marbles and 12 red marbles. One marble is selected at random from the bag. If this marble is blue, it is…
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9709/52 · May/June 20252 marks
Find the probability that, from the vehicles approaching this junction from Bromley today, the 1st vehicle to go left is before…
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9709/52 · May/June 20252 marks
Find the probability that, from the vehicles approaching this junction from Bromley today, the 2nd vehicle to go left is the 7th…
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9709/51 · May/June 20252 marks
Find the probability that the second A is obtained on the 6th roll of the dice.
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9709/51 · May/June 20242 marks
Find the probability that in three randomly chosen weeks at least one is a white week.
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Question stems are shortened previews. Open a question to attempt the full version and have it marked.

Worked example

What a lost mark actually looks like

This answer reaches the right coordinates and still drops a mark — the conclusion is stated, but never justified. Examiners pay for the reasoning, not the answer.

MARKED

80%

Strong

M1dy/dx = 3x^2 - 12x + 9M1 earned
M1(x - 1) $(x - 3) = 0$ M1 earned
A1 $x = 1$ or $x = 3$ A1 earned
B1(1, 5) is a maximum and (3, 1) is a minimumB1 not earned

B1 — withheld
You stated the nature of each point correctly, but stated it without justification. This mark needs the reasoning shown — either evaluate the second derivative (d²y/dx² = 6x − 12, giving −6 at $x = 1$ and +6 at $x = 3$ ) or show a sign change of dy/dx either side of each point. An unsupported assertion earns nothing here even when the conclusion is right.

Probability (9709) past-paper questions — marked instantly

These are real Cambridge Mathematics past-paper questions on Probability. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.

Mark your answer →Learn Probability 9709 grade boundaries

Frequently asked questions

How many Probability questions are there for 9709?: This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Probability. Each links straight to instant marking against the official 9709 scheme.
How are Probability answers marked?: Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
Where can I learn Probability first?: Start with the free Mathematics lesson on Probability, then come back and drill past-paper questions under timed conditions.