This is part of our collection of Short Problems.
You may also be interested in our longer problems on Probability - Stage 4.
Printable worksheets containing selections of these problems are available here
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problem
Tying the rope
What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?
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problem
Collecting marbles
How many marbles need to be taken out to ensure that at least three are of the same colour?
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problem
Swapping sweets
If two girls each take a sweet from each other's bags, what is the probability that they end up with what they started with?
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problem
Flipping coins
A coin is flipped 4 times. What is the probability of getting heads at least 3 times?
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problem
One or both
Problem 1 was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Can you work out how many pupils took the exam?
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problem
Takeaway time
Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?
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problem
Switch on
In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?
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problem
XOXOXO
6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?
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problem
Odd dice
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
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problem
Different digital clock
At how many times between 10 and 11 o'clock are all six digits on a digital clock different?
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problem
Medal ceremony
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
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problem
Descending deal
Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?
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problem
Two girls
There are 10 girls in a mixed class. If two pupils are selected, the probability that they are both girls is 0.15. How many boys are in the class?
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problem
Phone call
How many different phone numbers are there starting with a 3 and with at most two different digits?
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problem
Vegtown elections
What percentage of people voted for the Broccoli party in the Vegtown election?
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problem
Domino match
If you take two dominoes from a set at random, what is the probability that they 'match'?
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