EASY
AS and A Level
IMPORTANT
Earn 100

A fair six-sided spinner, P, has edges marked 0, 1, 2, 2, 3 and 4 .
A fair four-sided spinner, Q, has edges marked 0,-1,-1 and -2 .

Each spinner is spun once and the numbers on which they come to rest are added together to give the score, S. Find:

PS2=1

50% studentsanswered this correctly

Important Questions on Probability

MEDIUM
AS and A Level
IMPORTANT

Letters and packages can take up to 2 days to be delivered by Speed post couriers. The following table shows the percentage of items delivered at certain times after sending.

  Same day After 1 day After 2 days
Letter 40% 50% 10%
Package 15% 55% 30%

Is there any truth in the statement 'If you post 10 letters on Monday then only nine of them will be delivered before Wednesday'? Give a reason for your answer.

EASY
AS and A Level
IMPORTANT

Letters and packages can take up to 2 days to be delivered by Speedipost couriers. The following table shows the percentage of items delivered at certain times after sending.

  Same day After 1 day After 2 days
Letter 40% 50% 10%
Package 15% 55% 30%

Find the probability that when three letters are posted on Monday, none of them are delivered on Tuesday.

EASY
AS and A Level
IMPORTANT

Letters and packages can take up to 2 days to be delivered by Speedipost couriers. The following table shows the percentage of items delivered at certain times after sending.

  Same day After 1 day After 2 days
Letter 40% 50% 10%
Package 15% 55% 30%

Find the probability that when a letter and a package are posted together, the letter arrives at least 1 day before the package.

EASY
AS and A Level
IMPORTANT

The following histogram represents the results of a national survey on bus departure delay times.

Two buses are selected at random. Calculate an estimate of the probability that:

Question Image

both departures were delayed by less than 4 minutes

EASY
AS and A Level
IMPORTANT

The following histogram represents the results of a national survey on bus departure delay times.

Two buses are selected at random. Calculate an estimate of the probability that:

Question Image

at least one of the buses departed more than 7 minutes late.

EASY
AS and A Level
IMPORTANT

Praveen wants to speak on the telephone to his friend. When his friend's phone rings, he answers it with constant probability 0.6. If Praveen's friend doesn't answer his phone, Praveen will call later, but he will only try four times altogether. Find the probability that Praveen speaks with his friend:

after making fewer than three calls

EASY
AS and A Level
IMPORTANT

Praveen wants to speak on the telephone to his friend. When his friend's phone rings, he answers it with constant probability 0.6. If Praveen's friend doesn't answer his phone, Praveen will call later, but he will only try four times altogether. Find the probability that Praveen speaks with his friend:

on the telephone on this occasion.

EASY
AS and A Level
IMPORTANT

Each morning, Ruma randomly selects and buys one of the four newspapers available at her local shop. Find the probability that she buys:

the same newspaper on two consecutive mornings