WST01Topic 1.33 questions
Venn and tree diagrams, conditional probability, independence and mutual exclusivity.
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Original practice questions written in the style of the exam.
In a class of 40 students, 22 study French, 15 study German and 8 study both.
(a) Find the probability that a randomly chosen student studies neither language.
(b) Given that a randomly chosen student does not study German, find the probability that they study French.
A factory has two machines. Machine makes 60% of the components and machine makes the rest. Of the components made by , 3% are faulty; of those made by , 5% are faulty.
(a) A component is chosen at random. Find the probability that it is faulty.
(b) Given that a randomly chosen component is faulty, find the probability that it was made by machine .
(c) Two components are chosen at random, independently. Find the probability that exactly one of them is faulty.