Problema Solution
A local radio station is having a contest. Each time you call in, your chances of winning are 6%. if you call in 10 times, estimate the probability that you will win more than once.
Answer provided by our tutors
Probability of winning once = 6% = 0.06
Total probability = 1 = prob of winning never + prob of winning once + prob of winning more than once
1 - prob of winning never - prob of winning once = prob of winning more than once
prob of winning never = (1-0.06)^10
prob of winning once = (0.06)(1-0.06)^9
Substitute:
prob of winning more than once = 1 - (1-0.06)^10 - (0.06)(1-0.06)^9
prob of winning more than once = 0.427 = 42.7%