We flip a fair coin 10 times. What is the probability that there are at least 4 heads out of the 10 flips?
We flip a fair coin 10 times. What is the probability that there are at least...
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?
If we flip a fair coin 15 times, what is the probability of not flipping 15 heads in a row?
Exercise 1.16. We flip a fair coin five times. For every heads you pay me $1 and for every tails I pay you $1. Let X denote my net winnings at the end of five flips. Find the possible values and the probability mass function of X.
Suppose we flip a fair coin n times. We say that the sequence is balanced when there are equal number of heads and tails. For example, if we flip the coin 10 times and the results are HT HHT HT T HH, then this sequence balanced 2 times, i.e. at position 2 and position 8 (after the second and eighth flips). In terms of n, what is the expected number of times the sequence is balanced within n flips?
Suppose that I flip a fair coin 21 times. What is the probability that it will land on heads exactly 12 times? Round to 4 decimal places.
Suppose that I flip a fair coin 21 times. What is the probability that it will land on heads exactly 13 times?
Suppose that I flip a fair coin 36 times. What is the probability that it will land on heads exactly 23 times?
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 that I flip a fair coin 34 times. What is the probability that it will land on heads exactly 19 times? Make sure your answer is between 0 and 1.
If you flip a fair coin six times, what is the probability of having more heads than tails?