Please make sure youre answer is correct
P(coin shows head) = P(coin is fair and shows head) + P(coin is two-headed and shows head)
= 0.5 x P(fair coin showing head) + 0.5 x P(two-headed coin showing head)
= 0.5x0.5 + 0.5x1
= 0.75
Please make sure youre answer is correct A gambler has in his pocket a fair coin...
new answer please not from old thank you (a) A gambler has in his pocket a fair coin and a two-headed coin. He selects one of the coins at random, and when he flips it, it shows heads. What is the probability that it is the fair coin? (b) Suppose that he flips the same coin a second time and again it shows heads. Now what is the probability that it is the fair coin? (c) Suppose that he flips...
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A Box has 1024 fair and 1 two-headed coin. You pick a coin randomly, make 10 flips and get all H. (a) You flip the same coin you picked 100 times. What is the expected number of H? (b) You flip the same coin you picked until you get H. What is the expected number of flips you make?
There are two coins in a sack. They look and feel identical in every way, except that one is a regular coin with a head and tail side; the other is a 2 headed coin with a head on both sides. When the regular coin is flipped, H and T each show with probability .5. When the 2 headed coin is flipped, H shows with probability 1. Each coin is equally likely to be pulled out of the sack. A...
6 X Yos have seven coins in youe pocket coins Ceech with probsbility of "heads0.5o Pour two-heaed cons (each with probslity of heade1.0 Suppose you randomily select a coin and g it Find the probablity of lipping "bead Now suppose that you do, in fact, Bip "heads" Givea hat information, find the probabibty that the coin you aipped was: b. A fair con? sA two-headed coin? d. Now suppose that when you flip it, the coin comes up "tails". Given...
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Suppose you have two coins. One coin is fair and other is a coin with heads on both sides. Now you choose a coin at random and flip the coin. If the coin lands head, what is the probability that it was the fair coin?
Mysterioso the Magician is walking down the street with a box containing 25 identical looking coins: 24 are fair coins (which flip heads with probability 0.5 and tails with probability 0.5) and one is a trick coin which alwavs flips heads. Renata the Fox skillfully robs Mysterioso of one of the coins in his box (chosen uniformly at random). She decides she will flip the coin k times to test if it is the trick coin. (a) What is the...
Problem 7) True/False A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20.p=0.5. Answer the following questions. True/False: In this problem, the random variable X is considered as a...