According to the Cancer Research Institute, smoking causes 92% of all lung cancers in men. Find the probability of two randomly selected men having lung cancer caused by smoking
Question
According to the Cancer Research Institute, smoking causes 92% of all lung cancers in men. Find the probability of two randomly selected men having lung cancer caused by smoking
Solution
The probability of an event happening twice independently is the square of the probability of the event happening once.
Given that the probability of a man having lung cancer caused by smoking is 92% (or 0.92 in decimal form), the probability of two randomly selected men both having lung cancer caused by smoking would be (0.92)^2 = 0.8464 or 84.64%.
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