Exam-Style Question on Probability
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 610. This question is similar to one that appeared on an IB AA Standard paper in 2021. The use of a calculator is allowed.
A factory manufactures switches. It is known that the probability that a switch is found to be defective is 0.04. A random sample of 50 switches is tested.
(a) Find the probability that there is at least one defective switch in the sample.
(b) Given that there is at least one defective switch in the sample, find the probability that there are at least three defective switches.
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