In an instant lottery,your chance of winning is 0.1.If you play the lottery 100 times and outcomes are independent,the probability that you win at least 15 percent of the time is
A) 0.4933
B) 0.5
C) .15
D) 0.0478
E) 0.9213

Question

Quizplus · Accepted Answer

This is a binomial distribution problem, where n = 100 (the number of trials), p = 0.1 (the probability of winning), and we want to find the probability of winning at least 15 times (or 15% of the time). Using the binomial distribution formula, the probability is: P(X >= 15) = 1 - P(X < 15) Where X is the number of times we win in 100 trials. Using a binomial probability table or calculator, we can find: P(X < 15) = 0.9522 (rounded to four decimal places) So, P(X >= 15) = 1 - 0.9522 = 0.0478 Therefore, the answer is D.

In an Instant Lottery,your Chance of Winning Is 0