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?
Coin Flips: If you flip a fair coin 5 times, what is the probability of each of...
You flip the same coin 90 mores times (100 total flips). If half of the 90 additional flips are heads (45 heads) and half are tails (45 tails), what is the empirical probability of getting a heads for this coin? (So there are the original 10 heads plus an additional 45 heads for a total of 55 heads in 100 flips) (You can give the answer as either a decimal or percent. Give the answer to two decimal places.)
We flip a fair coin 10 times. What is the probability that there are at least 4 heads out of the 10 flips?
If you flip a fair coin six times, what is the probability of having more heads than tails?
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.
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...
1. Multiple choice. Circle all the correct answers a) You flip a coin 100,000 times and record the outcome in a Xi 1 if the toss is "Heads" and 0 if its "Tails. The Law of Large Numbers says that: i. ii. It is impossible for the first n flips to all be "Heads" if n is large. With high probability, the share of coin flips that are "Heads" will approximate 50%. The sample mean of X is always 0.5...
A coin flip: A fair coin is tossed three times. The outcomes of the three tosses are recorded. Round your answers to four decimal places if necessary. Part 1 out of 3 Assuming the outcomes to be equally likely, find the probability that all three tosses are "Tails." The probability that all three tosses are "Tails" is
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.
PLEASE ANSWER QUESTION # 5 a and b !!!!!!!!!! 4) Chapter 4-5: a) You flip a balanced coin 3 times. What is the probability that you get 3 heads? b) You flip a balanced coin 3 more times. What is the probability that you get 3 tails? c) What is the probability that you get 3 heads followed by 3 tails? d) What is the probability that you get exactly 1 head in the 6 flips? 5) Chapter 6: a)...
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...