3. There are three coins. They have chances 0.4, 0.6 and 0.8 respectively of showing heads....
There are three coins. They have chances 0.4, 0.6 and 0.8 respectively of showing heads. One of these three coins is chosen at random and flipped. (a) What is the chance that the coin chosen is the coin with probability equal to .4 of showing heads and a head shows up after the flip? (b) What is the chance that the coin, when flipped, shows a head? (c) Given that the coin, when flipped, shows a head, what is the...
1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and 0.2 respectively You plan to flip each coin and count the total number of heads. You're curious what the probability of getting exactly two heads is. [1 point a. Explain why you cannot use the Binomial model for this situation. [3 points] b. Show that the probability of getting exactly two heads is 0.38. Define any events you want to use in words. c....
Tom has three coins. Two are fair and one is unfair coin weighted so that heads is three times as likely as tails. He selects one of the coins at random and flips it. What is the probability it comes up heads? If it does come up heads, what is the probability it was the unfair coin?
A coin that lands on heads with probability p is placed on the ground, showing heads, at timet 0. Thereafter, randomly but with a rate of λ times per hour, the coin is picked up and flipped. (a) What is the probability that the coin shows heads at any time t? (b) Suppose that instead of flipping it, we pick the coin up and turn it over. What is the probability that the coin shows heads at any time t?...
A box contains four coins. Three of the coins are fair, but one of them is biased, with P(11) = ? (where 11 is the event of flipping heads). You take a coin from the box and flip it. It comes up heads. What is the probability that you have flipped the biased coin?
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips. Compute the following probabilities: P(A∩B) P(B) P(A|B)
The probability of getting 2 heads and 1 tail when three coins are tossed is 3 in 8. Find the odds of not getting 2 heads and 1 tail. ANSWER: 5:8?Three Coins are tossed. Find the probability that exactly 2 coins show heads if the first coin shows heads.?ANSWERS: Could it be 1/4?
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...
3. We are given three coins. One has heads on both faces, the second has tails on both faces, and the third coin has a head on one face and a tail on the other face. We choose one coin at random, toss it, and observe that the result is heads. What is the probability that the opposite face is tails?
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...