# Probability Stage 3 - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Probability - Stage 3.

### Tying the Rope

##### KS 3 Short Challenge Level:

Sam is holding two lengths of rope, and Pat ties two of the loose ends at random. What ropes could they end up with, and with what probability?

### Would You Like a Jelly Baby?

##### KS 3 Short Challenge Level:

What is the smallest number of jelly babies Matt needs to remove from his pocket to guarentee he gets at least one of each flavour?

### Collecting Marbles

##### KS 3 Short Challenge Level:

A bag contains red, orange, green and blue marbles. How many need to be taken out to ensure that at least three are of the same colour?

### Takeaway Time

##### KS 3 Short Challenge Level:

Pizza, Indian or Chinese takeaway. Each teenager from a class only likes two of these, but can you work which two?

### Perfect Score

##### KS 3 Short Challenge Level:

Can you work out how many children answered all the questions correctly?

### Monkey Puzzle

##### KS 3 Short Challenge Level:

Three monkeys each hung up their hats as they entered a cafe. They each took a hat at random when they left. What is the probability that they all took the correct hats?

### Vegtown Elections

##### KS 3 Short Challenge Level:

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

### Counting Kangaroos

##### KS 3 Short Challenge Level:

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

### Counting Socks

##### KS 3 Short Challenge Level:

Can you work out the smallest number of socks Rachel needs to take out of the box to be guaranteed a pair?