Error rate

The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?

Correct answer:

p =  0.6554

Step-by-step explanation:

n=6 p1=20%=10020=51=0.2 r=1p1=10.2=54=0.8  a=(6n)r6(1r)n6=(66)0.86(10.8)66=10.860.200.2621 b=(5n)r5(1r)n5=(56)0.85(10.8)65=60.850.210.3932  p=a+b=0.2621+0.3932=0.6554

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