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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.

Question

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.

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.

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EvelynProfessional · Tutor for 6 years

Answer

\( \frac{99}{100} \)

Explain

## Step 1:<br />Identify total number of raffle tickets sold. Mr. Ellis sells 500 tickets overall.<br /><br />## Step 2:<br />Understand the number of tickets Daisy buys. Daisy purchases 5 tickets.<br /><br />## Step 3:<br />Calculate the probability that Daisy wins the raffle. Daisy has 5 out of 500 chances to win, which is \( \frac{5}{500} \).<br /><br />## Step 4:<br />Simplify probability of Daisy winning. Divide both the numerator and the denominator by 5 to get the simplified form, \( \frac{1}{100} \).<br /><br />## Step 5:<br />Determine the probability that Daisy does not win. Subtract Daisy’s probability of winning from 1 (the total probability all possibilities) to get \( \frac{100}{100} - \frac{1}{100} \).<br /><br />## Step 6:<br />Simplify to find the probability that Daisy does not win. Daisy's probability of not winning is thus \( \frac{99}{100} \).<br /><br />### Important formula to remember for probability of an event not happening:<br />\[ \text{Probability (not event)} = 1 - \text{Probability (event)} \]
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