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question1: Eight people each toss a fair coin five times. Determine the probability that at least...

question1: Eight people each toss a fair coin five times. Determine the probability that at least one of these people obtains five heads

a) .178 b) .224 c) .288 d) .361 e) .403

question2: A fair coin is tossed 5 times. Determine the probability that a “run” of 3 or more heads occurs. note: HTHHH & HHHHT have runs of 3 & 4 heads.

a) 1/8 b) 3/16 c) 5/16 d) 1/4 e) 5/8

question3: The symbols $ $ $ @ @ & & & & are permuted randomly. Determine the probability that the specific arrangement $ @ & & $ @ & & $ occurs
a) 1/256 b) 1/1260 c) 1/820 d) 1/520 e) 1/2400

question4: A box of relays contains 15 that are good & 5 that are defective. 14 relays are chosen at random. Determine the probability that exactly 4 of the unchosen relays are good.
a) .430 b) .352 c) .162 d) .278 e) .084

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