EASY
AS and A Level
IMPORTANT
Earn 100

A boy has five different pairs of shoes mixed up under his bed. Find the probability that when he selects two shoes at random they can be worn as a matching pair.

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Important Questions on Probability

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 7

A bag contains five 4 cm nails, six 7 cm nails and nine 10 cm nails. Find the probability that two randomly selected nails:

have a total length of 14 cm

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 7

A bag contains five 4 cm nails, six 7 cm nails and nine 10 cm nails. Find the probability that two randomly selected nails:

are both 7 cm long, given that they have a total length of 14 cm.

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 8

Yvonne and Novac play two games of tennis every Saturday. Yvonne has a 65% chance of winning the first game and, if she wins it, her chances of winning the second game increase to 70%. However, if she loses the first game, then her chances of winning the second game decrease to 55%. Find the probability that Yvonne:

loses the second game.

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 8

Yvonne and Novac play two games of tennis every Saturday. Yvonne has a 65% chance of winning the first game and, if she wins it, her chances of winning the second game increase to 70%. However, if she loses the first game, then her chances of winning the second game decrease to 55%. Find the probability that Yvonne:

wins the first game, given that she loses the second game.

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 9
Given P(X∩Y)=0.13 and P(X)=0.65, find P(Y∣X).
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 9
Given P(M∩N)=0.27 and P(N∣M)=0.81, find P(M).
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 9
Given P(V∩W)=0.35 and PW'=0.60, find P(V∣W).
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 4 - Probability>EXERCISE 4F>Q 10
When a customer at a furniture store makes a purchase, there is a 15% chance that they purchase a bed. Given that 4.2% of all customers at the store purchase a bed, find the probability that a customer does not make a purchase at the store.