Mathematics

Mathematics, 22.07.2019 19:00, MQV2000

If a fair coin is tossed three times, what is the probability that it will turn up heads exactly twice?

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Mathematics, 29.06.2019 14:10, pum9roseslump

We have two coins: one is a fair coin and the other is a coin that produces heads with probability 3/4. one of the two coins is picked at random, and this coin is tossed n times. let sn be the number of heads that turns up in these n tosses. does the law of large numbers allow us to predict the proportion of heads that will turn up in the long run? after we have observed a large number of tosses, can we tell which coin was chosen? how many tosses suffice to make us 95 percent sure? g

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Mathematics, 24.08.2019 10:30, aliviadushane

Four coins are tossed several times. which of the following represents the outcome on a coin that may not be fair? 1st coin is tossed 50 times and gives 24 heads and 26 tails. 2nd coin is tossed 250 times so that p(heads) = 0.25. 3rd coin is tossed 16 times and gives p(tails) = 9/16 4th coin is tossed 25,000 times and gives 12,505 heads.

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Mathematics, 23.09.2019 14:30, kennyg02

There are five coins that look identical in a box. however, these coins are not fair. the probability of getting heads is 0.1 for coin i, 0.3 for coin ii, 0.5 for coin iii, 0.7 for coin iv, and 0.9 for coin v. a coin was picked randomly from the box and was tossed. a head was observed. i) what is the probability that the vth coin was chosen. ii) the coin was tossed again (you still do not know the identity of the coin but you know you had a head in the first toss). what is the probability that you will get another head? iii) suppose both the tosses resulted in heads. what is the probability that the 3rd toss of the same coin will result in a tail?

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Mathematics, 26.10.2019 00:43, miranda3837

Shawn is conducting an experiment where he is flipping a fair coin (where the probability of the coin landing heads up is 50%). after performing the experiment 100 times, the coin fell heads up 78 times. shawn then decided to perform the experiment 15 more times, during which the coin fell heads up only 3 times. according to this experience, should shawn question whether or not the coin is a fair coin? a. no, shawn understands that as the experiment goes through more trials the experimental probability will approach the theoretical probability. b.yes, even with the additional 15 trials of the experiment the coin lands on heads 70.4% of the time. c.no, the first 100 trials shows heads 78% of the time and the next 15 trials shows tails 80% of the time which proves the coin is fair. d.yes, since the coin did not land on heads 50% of the time it cannot be a fair coin.

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