Question

Suppose I have two coins: • Coin 1 is fair: H and T have the same...

Suppose I have two coins:

• Coin 1 is fair: H and T have the same probability

• Coin 2 is biased: H is twice as likely as T I select one of the coins with equal probability and flip it.

If I obtained H, what is the probability that I chose coin 2?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose I have two biased coins: coin #1, which lands heads with probability 0.9999, and coin...
Suppose I have two biased coins: coin #1, which lands heads with probability 0.9999, and coin #2, which lands heads with probability 0.1. I conduct an experiment as follows. First I toss a fair coin to decide which biased coin I pick (say, if it lands heads, I pick coin #1, and otherwise I pick coin #2) and then I toss the biased coin twice. Let A be the event that the biased coin #1 is chosen, B1 the event...
1) Let S = {H, T} be the sample space associated to the fair coin-flipping. Is...
1) Let S = {H, T} be the sample space associated to the fair coin-flipping. Is {H} independent from {T}? 2) Let S = {HH, HT, TH, T T} be the sample space associated to flipping fair coin twice. Consider two events A = {HH, HT} and B = {HT, T H}. Are they independent? 3) Suppose now we have a biased coin that will give us head with probability 2/3 and tail with probability 1/3. Let S = {HH,...
hello Coin 1 is biased, with P(H)=0.2; Coin 2 is also biased, with P(H)=0.6; Coin 3...
hello Coin 1 is biased, with P(H)=0.2; Coin 2 is also biased, with P(H)=0.6; Coin 3 is fair. One of these coins is randomly selected, and then flipped. Calculate: a) P(result of the flip is T). b) P(coin selected was the fair one, if the result of the flip is H). c) Assuming now that one of the coins is randomly selected and then flipped 2 times, calculate P(coin selected was the fair one, if result of the flips is...
A black bag contains two coins: one fair, and the other biased (with probability 3/4 of...
A black bag contains two coins: one fair, and the other biased (with probability 3/4 of landing heads). Suppose you pick a coin from the bag — you are twice as likely to pick the fair coin as the biased one — and flip it 8 times. Given that three of the first four flips land heads, what is the expected number of heads in the 8 flips?
You select a coin at random: 2/3 of the coins are unfair, 1/3 of the coins...
You select a coin at random: 2/3 of the coins are unfair, 1/3 of the coins are fair. The fair coins are equally likely to flip heads or tails. The unfair coins flip heads 3/4 of the times, and tails 1/4 of the times. You flip the selected coin and get heads or tails. Find (1) the probability that the selected coin is fair given the flip is heads, (2) the probability that the selected coin is fair given the...
A selection of coin is known to be either fair (with a probability 0.5 of coming...
A selection of coin is known to be either fair (with a probability 0.5 of coming up heads or tails when flipped) or biased (with a probability 0.75 of tails, 0.25 of heads.) Further. it is known that 1/10 of the coins are biased. a) You select a coin at random. What are the prior odds (not probability) that you have picked a biased coin? b) You select a coin at random and flip it; you get tails. What are...
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment...
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment for which there are two disjoint events, with equal probabilities, that we call "heads" and "tails". a. given c1 and c2, where c1 lands heads up with probability 2/3 and c2 lands heads up with probability 1/4, construct a "fair coin flip" experiment. b. given one coin with unknown probability p of landing heads up, where 0 < p < 1, construct a "fair...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A two-headed coin: ?(?)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event ? : first coin toss is ? . Event ? : second coin toss is ? . Event ? : two coin...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A two-headed coin: ?(?)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event ? : first coin toss is ? . Event ? : second coin toss is ? . Event ? : two coin...
Consider two coins, one fair and one unfair. The probability of getting heads on a given...
Consider two coins, one fair and one unfair. The probability of getting heads on a given flip of the unfair coin is 0.10. You are given one of these coins and will gather information about your coin by flipping it. Based on your flip results, you will infer which of the coins you were given. At the end of the question, which coin you were given will be revealed. When you flip your coin, your result is based on a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT