There are 500 tickets in a raffle. If you have 3 of these tickets and 5 prizes are to be given, what is the probability you will win at least one prize?

Question

anonymous · Answer

The probability you win at least once is the same as one minus the probability you win nothing.  That could be described as$$1-(\frac{497}{500})(\frac{496}{499})(\frac{495}{498})(\frac{494}{497})(\frac{493}{496})$$

anonymous · Answer

Each fraction is the probability you will lose that (first, second, etc.) drawing.

anonymous · Answer

Since they are independent events, we multiply.  I leave the calculation to you.

anonymous · Answer

Thank you so much!!