Question

if you buy one ticket in the chancellor mathletic lottery, then the probability that you will win a prize is 0.10. the probability of winning the lottery is independent from month to month. if you buy one ticket each month for 12 months, what is the probability that you will win at least once?

Answer 1

The probability of winning at least once is 1 - 0.2824 = 0.7176 or 71.76%. To find the probability of winning at least once in 12 months, we can use the complement rule. The probability of not winning in one month is 1 - 0.10 = 0.90.

Step-by-step explanation:

To find the probability of winning at least once in 12 months, we can use the complement rule. The probability of not winning in one month is 1 - 0.10 = 0.90. Since the months are independent, the probability of not winning in 12 months is 0.9012 = 0.2824. So, the probability of winning at least once is 1 - 0.2824 = 0.7176 or 71.76%.