We flip a fair coin until we get the 3-rd Head. What is the probability that we get exactly 6 Tails?
We flip a fair coin until we get the 3-rd Head. What is the probability that...
Imagine an experiment where we flip a coin 6 times, and get “head, tail, head, head, head, head”. Which of the following statements are true? a) The coin is not fair b) The coin’s tail probability is 1/6 c) The sequence "head, tail, head, head, head, head" is an outcome in the sample space. d) The sample space of the experiment is {head, tail}
A fair coin is flipped until the first head appears. Let X= the total number of times the coin is flipped. Find E(x). Hint:if the first flip is tails, this "game" restarts.
Step 1. Flip a fair coin. Step 2. If you got a head in step 1, flip two fair coins. If you got a tail in step 1, flip one fair coin. Given that you got only tails in step 2, what is the chance that you got tails in step 17 Round your answer to nearest.xx
-3 points Suppose we have a fair coin that is equally likely to come up heads or tails (a) The coin is flipped 3 times. How many ways can we get exactly 1 head? (b) The coin is flipped 5 times. How many ways can we get exactly 2 tails? (c) The coin is flipped 4 times. How many ways can we get at least 3 tails?
Exercise 10.17. We flip a fair coin. If it is heads we roll 3 dice. If it is tails we roll 5 dice. Let X denote the number of sixes among the rolled dice. (a) Find the probability mass function of X. (b) Find the expected value of X.
Coin Flips: If you flip a fair coin 5 times, what is the probability of each of the following? (please round all answers to 4 decimal places) a) getting all tails? b) getting all heads?
9.74. Suppose we toss a biased coin independently until we get two heads or two tails in total. The coin produces a head with probability p on any toss. 1. What is the sample space of this experiment? 2. What is the probability function? 3. What is the probability that the experiment stops with two heads?
We flip a fair coin 10 times. What is the probability that there are at least 4 heads out of the 10 flips?
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...
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...