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In an hour, a bacteria dies with probability p or else splits into two. What is the probability that a single bacteria produces a population that will never become extinct?
a) 1+p/1-p
b) 1-2p/1-p
c) 1/1-p
d) None of the above
You draw 4 cards from the regular deck of 52 cards.
What is the chance that all of these cards have different denom-inations and in addition there is no neighbors (for example an 8 and a 9, a 10 and a Jack, or a king and an ace are neighbors, but a 7 and a 9, or an ace and a 2 are not neighbors)?
a) 1/5
b) 1/4^4
c) 1500/7000
d) 1536/7735
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