Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. the chance of winning a prize for each of the 20 plays is 50–50. if you bought 20 tickets, what is the chance of winning 15 or more prizes?

There is a 2.06% probability of winning 15 or more prizes.

Step-by-step explanation:

For each play, there are only two possible outcomes. Either you win a prize, or you do not win a prize. This means that we can solve this problem using concepts of the binomial probability distribution.

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 combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are 20 plays, no

The chance of winning a prize for each of the 20 plays is 50–50, so .

If you bought 20 tickets, what is the chance of winning 15 or more prizes?

This is

So

There is a 2.06% probability of winning 15 or more prizes.