let L: room is locked k: he selects rite key to open a door then
p(L' and k) = p(L') +P(K)-P(L AND K) ALSO P(L') = 0.4 (GIVEN)
WHERE
P(K) = 0.375
S0,
p(L' and k) = 0.4 + 0.375 - (0.375 * 0.4)
= 0.625
No. A probability means, how likely it is for something to happen. An observation of SEVERAL similar events can give you a good ESTIMATE of the probability.
It does not, so the question is based on a misunderstanding of probability.
No, it was known several thousand years before him.
Risk Level
You multiply together their individual probabilities.
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