Webdollars. In simple terms: if we play this game over and over, we expect that on average we will lose \(\$\)4.99 per play. Example 3. Suppose you pay \(\$\)5 to play a game where you flip a coin 5 times. Suppose the coin is fair and the flips are independent. If the coin lands heads up every time, you win \(\$\)100. Otherwise you win nothing. WebDec 7, 2024 · Now, there are three possible cases as listed below: If a tail appears on the first flip of coin. If in the first flip, a tail occurs then it means that we have wasted one flip and we will have to do more flips to reach our goal. The probability of this event is 1/2 and the total number of flips now required will be x+1.
Expected value of the number of flips until the first head
WebUse the definitions given in the text to find both the odds for and the odds against the following event. Flipping 4 fair coins and getting 0 tails. The odds for getting 0 tails … WebSuppose that we flip a fair coin until either until we have flipped tails twice or we have flipped it six times. (a) After completing this experiment, what are the possible number of times we flipped the coin? (b) What are the probabilities of each of the number of flips cited in part (a)? (c) What is the expected number of times we flip the coin? top restaurants in findlay ohio
Expected number of coin flips to get two heads in a row?
WebA fair coin has 2 2 sides (heads and tails) that are equally likely to show when the coin is flipped. What is the theoretical probability that a fair coin lands on heads? P\left ( \text {heads} \right)= P (heads) = question b Dave flipped a coin 20 20 times and got heads on 8 … WebAtleast 4 Tails in 5 Coin Tosses. The ratio of successful events A = 6 to the total number of possible combinations of a sample space S = 32 is the probability of 4 tails in 5 coin … WebUsing the definitions given in the text to find both the odds for and the odds against the following event. Flipping 4 fair coins and getting exactly 1 tail; Question: Using the definitions given in the text to find both the odds for and the odds against the following event. Flipping 4 fair coins and getting exactly 1 tail top restaurants in fayetteville nc