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# Probability Short Problems - Age 14-16

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

### Collecting Marbles

### Tying the Rope

### Swapping Sweets

### Flipping Coins

### One or Both

### XOXOXO

### Odd Dice

### Switch On

### CD Collection

### Takeaway Time

### Counting Kangaroos

### Two Girls

### Different Digital Clock

### Numbers or Letters?

### Phone Call

### Dropouts

### Medal Ceremony

### Domino Match

### Vegtown Elections

### Descending Deal

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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

Age 14 to 16

ShortChallenge Level

How many marbles need to be taken out to ensure that at least three are of the same colour?

Age 14 to 16

ShortChallenge Level

What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?

Age 14 to 16

ShortChallenge Level

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?

Age 14 to 16

ShortChallenge Level

A coin is flipped 4 times. What is the probability of getting heads at least 3 times?

Age 14 to 16

ShortChallenge Level

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?

Age 14 to 16

ShortChallenge Level

6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

Age 14 to 16

ShortChallenge Level

These strange dice are rolled. What is the probability that the sum obtained is an odd number?

Age 14 to 16

ShortChallenge Level

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?

Age 14 to 16

ShortChallenge Level

How many different ways can I arrange the CDs in my collection?

Age 14 to 16

ShortChallenge Level

Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

Age 14 to 16

ShortChallenge Level

Can you work out how many kangaroos Rachel draws in one colour?

Age 14 to 16

ShortChallenge Level

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?

Age 14 to 16

ShortChallenge Level

At how many times between 10 and 11 o'clock are all six digits on a digital clock different?

Age 14 to 16

ShortChallenge Level

Which game offers you the best chance of winning?

Age 14 to 16

ShortChallenge Level

How many different phone numbers are there starting with a 3 and with at most two different digits?

Age 14 to 16

ShortChallenge Level

What percentage of students who graduate have never been to France?

Age 14 to 16

ShortChallenge Level

The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?

Age 14 to 16

ShortChallenge Level

If you take two dominoes from a set at random, what is the probability that they 'match'?

Age 14 to 16

ShortChallenge Level

What percentage of people voted for the Broccoli party in the Vegtown election?

Age 14 to 16

ShortChallenge Level

Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?