How can I win on Lottery?

Discrete Mathematics Level 3

Assume you have a lottery ticket that contains 56 numbers. To play, you have to choose 6 numbers from that collection. If you choose 6 correct numbers, only then you can win. Based on those assumptions, you can find that you have a probability of \(\cal S\) to win.

What is the following number equal to? \[\cal S^{-1}\]

Details and assumptions:

  • You can use an online calculator.

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