Sometimes you get a question where there are loads of different options to choose from and it's difficult to see which one to choose.

If you get a question like this, you need to use a systematic listing strategy to write out all the combinations.

**Example 1: **

A shop sells beef, plain and salt n vineger crisps, as well as coke and lemonade.

**If you wanted to buy one bag of crisps and a drink, how many options would you ****have?**

To solve this, we need to look at one of the options first and see how many of the other options you could have with it.

So: beef crisps could be bought with either coke or lemonade. (B,C B,L)

Next: plain crisps could be bought with either coke or lemonade. (P,C P,L)

Lastly: salt n vinegar crisps could be bought with coke or lemonade. (S,C S,L)

From this, we can see that there are six different options.

**The link with probability**

These questions are frequently paired with probability.

**Example 2:**

A shop sells beef, plain and salt n vineger crisps, as well as coke and lemonade.

**If someone randomly bought one bag of crisps and a drink, what is the probability that they bought beef crisps and a lemonade?**

We know that there are six options in total and only one of these is the one we are looking for.

The probability will therefore be** 1/6**

Let's have a go at some questions.