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?
A)0.250
B)0.021
C)0.006
D)0.750

Question

Quizplus · Accepted Answer

This problem can be solved using the binomial distribution formula, where n = number of trials (20), p = probability of success (0.5), and x = number of successes (15 or more). Using a binomial distribution table or calculator, we find that the probability of getting 15 or more successes out of 20 trials with a success rate of 50% is approximately 0.021. Therefore, the best choice is B.

Sponsors of a Local Charity Decided to Attract Wealthy Patrons