NO.PZ2023091601000029
问题如下:
A multiple choice exam has ten
questions, with five choices per question. If you need at least three correct
answers to pass the exam, what is the probability that you will pass simply by
guessing?
选项:
A.0.8% B.20.1%
C.67.8%
D.32.2%
解释:
The probability of an
event is between 0 and 1. If these are mutually exclusive events, the
probability of individual occurrences are summed. This probability follows a
binomial distribution with a p-parameter of 0.2. The probability of getting at
least three questions correct is 1 – [p(0) + p (1) + p (2)] = 32.2%.
一共5个选项, 做对概率1/5=0.2, 不对概率4/5=0.8. 做对3题算通过, 从10题中任意选3题,
根据二项分布的公式,3C10 * 0.2^3 * 0.8^7 。 请问这样算错在哪里