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2010-10-17
An Interesting Problem from Kenneth Baclawski's "Introduction to Probability with R" - [数学]
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An Interesting Problem from Kenneth Baclawski's "Introduction to Probability with R"
Exercise 1.20 (Prendergast)
Two technicians are discussing the relative merits of two rockets. One rocket has
two engines, the other four. The engines used are all identical. To ensure success
the engines are somewhat redundant: the rocket will achieve its mission even if
half its engines fail. The first technician argues that the four-engine rocket ought
to be the better one. The second technician replies, "Although I cannot reveal the
failure probability of an engine, because it is classified top secret, I can assure you
that either rocket is as likely to succeed as the other."
The first technician replies,"Thank you. What you just told me allows me to
compute the failure probability both for an engine and for a rocket."
Can you do this computation also? (Exercise 1.20, p. 21)
the answer is:
1/3, 1/9
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