You are working as an office apprentice for the bksb Newcastle Arena.
The arena is giving away free tickets to encourage more people to visit the amateur sport tournaments the arena is planning to host.
Every time a customer purchases a ticket they are entered into a draw. Each draw is made up of 800 entrants. There is a 1/20 chance of winning.
How many winners will there be per draw?
What is the chance of not winning? Show your answer in percentage form.

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wonderwomanneedshelp wonderwomanneedshelp · Answer 1 · 2017-11-15T18:29:52+01:00

40 is the correct answer

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david8644 david8644 · Answer 2 · 2019-08-15T01:38:27+02:00

Answer:

There will be 40 winners.

There is a 95% chance of not winning.

Step-by-step explanation:

In order to calculate the winners per draw, we just have to multiply the chance of winning by the entrants.

We have 800 entrants, and there is 1/20 chance of winning, so we just multiply it:

[tex]winners:(Entrants)(Chance of winning)\\Winners:(800)(\frac{1}{20})\\Winners:\frac{800}{20} \\Winners:40[/tex]

And now to calculate the percentage we just have to do a rule of thirds:

If 20 is 100% how much would 1 be?

[tex]\frac{1}{20}= \frac{x}{100}[/tex]

[tex]x=\frac{100}{20} \\x=5[/tex]

So now we now that the percentage of winners would be 5%.