If the odds of winning the prize is 1 : 53 and If I purchased 84 tickets what are the odds of winning in percentage. Step by step?

79.81% probability of winning.

Step-by-step explanation:

For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

The odds of winning the prize is 1 : 53

This means that

If I purchased 84 tickets what are the odds of winning in percentage.

To win, at least one of the tickets must have the prize, of 84 tickets, so .

We have to find , which is given by:

In which

79.81% probability of winning.

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step-by-step explanation: