Mr. Ellis organises a raffle for the school fayre. The top prize is a secret gift from a nearby tech shop, which will be won by one lucky ticket. Altog ether he sells 500 raffle tickets. Daisy buys 5 tickets. Work out the probability that Daisy does not win. Give your answer as a fraction in its simplest form.

## Step 1:Identify total number of raffle tickets sold. Mr. Ellis sells 500 tickets overall.## Step 2:Understand the number of tickets Daisy buys. Daisy purchases 5 tickets.## Step 3:Calculate the probability that Daisy wins the raffle. Daisy has 5 out of 500 chances to win, which is .## Step 4:Simplify probability of Daisy winning. Divide both the numerator and the denominator by 5 to get the simplified form, .## Step 5:Determine the probability that Daisy does not win. Subtract Daisy’s probability of winning from 1 (the total probability all possibilities) to get .## Step 6:Simplify to find the probability that Daisy does not win. Daisy's probability of not winning is thus .### Important formula to remember for probability of an event not happening: