The prevalence of a certain type of cancer among men aged 55βππ is 1 in 100. A blood test will
be positive 95% of the time if the cancer is present but it is also positive 4% of the time if the
cancer is not present.
2.1. In a routine checkup, 56-year-old men receive a positive blood test. What is the probability that
he has the type of cancer?
2.2. What is the probability that a randomly selected 56-year-old men tests negative?
Let denote the event "cancer is pesent", let denote the event " blood test is positive".
2.1.
2.2
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