MEDIUM
AS and A Level
IMPORTANT
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A driving test is passed by 70% of people at their first attempt. Find the probability that exactly five out of eight randomly selected people pass at their first attempt. [Write your answer correcting to three decimal places]

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Important Questions on The Binomial and Geometric Distributions

MEDIUM
AS and A Level
IMPORTANT

Research shows that the owners of 63% of all saloon cars are male. Find the probability that exactly 20 out of 30 randomly selected saloon cars are owned by males. [Write your answer correcting to three decimal places]

MEDIUM
AS and A Level
IMPORTANT

Research shows that the owners of 63% of all saloon cars are male. Find the probability that exactly 20 out of 30 randomly selected saloon cars are owned by females. 

MEDIUM
AS and A Level
IMPORTANT

In a particular country, 58% of the adult population is married. Find the probability that exactly 12 out of 20 randomly selected adults are married. [Write your answer correcting to three decimal places]

MEDIUM
AS and A Level
IMPORTANT

A footballer has a 95% chance of scoring each penalty kick that she takes. Find the probability that she scores from all of her next 10 penalty kicks. [Write your answer correcting to three decimal places]

MEDIUM
AS and A Level
IMPORTANT

A footballer has a 95% chance of scoring each penalty kick that she takes. Find the probability that she fails to score from exactly one of her next seven penalty kicks. [Write your answer correcting to three decimal places]

HARD
AS and A Level
IMPORTANT

On average, 13% of all tomato seeds of a particular variety fail to germinate within 10 days of planting. Find the probability that 34 or 35 out of 40 randomly selected seeds succeed in germinating within 10 days of planting. [Write your answer correcting to three decimal places]

HARD
AS and A Level
IMPORTANT

There is a 15% chance of rain on any particular day during the next 14 days. Find the probability that, during the next 14 days, it rains on exactly 2 days. [Write your answer correcting to three decimal places]

HARD
AS and A Level
IMPORTANT

There is a 15% chance of rain on any particular day during the next 14 days. Find the probability that, during the next 14 days, it rains on at most 2 days. [Write your answer correcting to three decimal places]