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2.3 Probability

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Question 26

Independent trials have success probability $p$ . The probability of at least one success in four trials is 0.5904.

a.

Find $p$ .

[3]

b.

Find the probability of exactly two successes in four trials.

[2]

c.

In 250 sets of four trials, find the expected number with exactly two successes.

[1]

Markscheme

2.3 Probability Questions

A Level
Maths
2.3 Probability

200 exam-style questions on OCR (MEI) A Level Maths 2.3 Probability, covering 2.3.1 Calculate the probability of an event, 2.3.2 Complementary events, 2.3.3 Expected frequency of an event, 2.3.4 Diagrams to calculate probabilities, 2.3.5 Mutually exclusive and independent events, 2.3.6 Add probabilities for mutually exclusive events, 2.3.7 Multiply probabilities for independent events, 2.3.8 Mutually exclusive and independent events (notation) (A-level only), 2.3.9 Venn diagrams for probabilities (A-level only), 2.3.10 Conditional probabilities (A-level only), and 2.3.11 Independence via conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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