May/June 2026 Paper 51

2026 · 6 questions · 18 parts · 50 marks

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Q1–/6 mks
Q5–/10 mks
Q6–/12 mks
4(a)Binomial Geometric DistributionsEasy2 marks
Jong has a bag containing 5 red marbles and 7 blue marbles. He chooses marbles from the bag one at a time at random. Each time he replaces the marble in the bag. Find the probability that the first red marble that Jong obtains is before his 6th choice.
Probability
4(b)Binomial Geometric DistributionsMedium3 marks
Kai has a bag containing 5 green marbles and 7 yellow marbles. He chooses marbles from the bag one at a time at random. Each time he replaces the marble in the bag. Find the probability that the second green marble that Kai obtains is on his 9th choice.
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Probability
4(c)Binomial Geometric DistributionsMedium3 marks
Lam has a bag containing 5 black marbles and 7 white marbles. He chooses 10 marbles from the bag one at a time, at random and with replacement. Find the probability that Lam obtains fewer than 3 black marbles.
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Probability