You have one fair coin and one biased coin which lands tails with probability 2/3. You...
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have one fair coin and one biased coin which lands tails with
probability 2/3. You...
There are two coins, one fair and one biased (the probability of obtained a tails being...
There are two coins, one fair and one biased (the probability of obtained a tails being 0.2 - i.e., P[T] = 0:2). A game is played by successively flipping the coins as follows: The game begins with a flip of the fair coin, and the result, H or T, is noted; If the result of the flip is T, then the other coin is used on the next flip, and the result is noted; If the result of a flip...
2. Mysterioso the Magician is walking down the street with a box containing 25 identical looking coins: 24 are fair coins (which flip heads with probabilty 0.5 and tails with probability 0.5) and one...
2. Mysterioso the Magician is walking down the street with a box containing 25 identical looking coins: 24 are fair coins (which flip heads with probabilty 0.5 and tails with probability 0.5) and one is a trick coin which always 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...
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 i...
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...
Suppose you have two coins. One coin is fair and other is a coin with heads...
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?
You have 2 fair coins and one coin with heads on both sides. You pick a...
You have 2 fair coins and one coin with heads on both sides. You pick a coin at random and toss it twice. If it lands heads up on both tosses, the probability it also lands heads up on a third toss can be express in the form A/B, where A and B are relatively prime positive integers (i.e. the greatest common divisor is 1). Compute A + B.
What is the probability that a fair coin lands tails up ten times in a row?
What is the probability that a fair coin lands tails up ten times in a row?
Suppose you flip an ordinary fair coin 60 times and amazingly it lands on heads every...
Suppose you flip an ordinary fair coin 60 times and amazingly it lands on heads every single time. What is the probability that on your next flip, it lands on tails?
You have a biased coin where heads come up with probability 2/3 and tails come up with probability 1/3. 2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibilit...
You have a biased coin where heads come up with probability 2/3
and tails come up with probability 1/3.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average number of flips? Use the possibility tree, and show your calculation.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average...
10) You have three coins one of which is biased so that it turns up tails...
10) You have three coins one of which is biased so that it turns up tails 70% of the time. If 10) you randomly select one of the coins, tossed it three times, and obtained three tails what is the probability that this is the biased coin? A) 0.333 B) 0.578 C) 0.343 D) 0.622 11) Given that the confidence level is x%, give an expression in terms of x fora. C) 100-(1x)D)1. 10 A) B)100-Х 100 12) The daily...
Answer part a and part b please!!! (a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the co...
Answer part a and part b
please!!!
(a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.)
(a) What is the conditional...
2. Mysterioso the Magician is walking down the street with a box containing 25 identical looking coins: 24 are fair coins (which flip heads with probabilty 0.5 and tails with probability 0.5) and one is a trick coin which always 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...
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...
You have a biased coin where heads come up with probability 2/3
and tails come up with probability 1/3.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average number of flips? Use the possibility tree, and show your calculation.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average...
10) You have three coins one of which is biased so that it turns up tails 70% of the time. If 10) you randomly select one of the coins, tossed it three times, and obtained three tails what is the probability that this is the biased coin? A) 0.333 B) 0.578 C) 0.343 D) 0.622 11) Given that the confidence level is x%, give an expression in terms of x fora. C) 100-(1x)D)1. 10 A) B)100-Х 100 12) The daily...
Answer part a and part b
please!!!
(a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.)
(a) What is the conditional...
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