when coin 2 is flipped it lands on heads with When coin 1 is flipped, it...
Assume that a coin is flipped where the probability of coin lands "Heads" is 0.49. The coin is flipped once more. This time, the probability of obtaining the first flip's result is 0.38. The random variable X is defined as the total number of heads observed in two flips. On the other hand, the random variable Y is defined as the absolute difference between the total number of heads and the total number of tails observed in two flips. Calculate...
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...
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?...
Q3. (5 points) A coin having probability p of landing heads is continually flipped until at least one head and one tail have been flipped. Find the expected number of flips needed Find the expected number of flips that land on heads.
a coin is weighted so that there is a 61.7% chance of it landing on heads when flipped. the coin us flipped 16 times. find the probability that exactly 6 of the flips resulted in heads
Problem 1 (5 points) A coin is flipped four times. Assume that each of the sixteen possible outcomes {0000, 1000, 0100, 1100, 0010, 1010, 0110, 1110, 0001, 1001,0101, 1101,0011, 1011, 0111, 1111} are equally likely. What is the conditional probability that all flips are heads, given the following information: (a) the first flip is heads? (b) the last flip is heads? (©) at least one flip is heads? (d) at least two flips are heads? (e) the first flip and...
18. A fair coin is flipped multiple times until it lands on heads. If the probability of landing on ( point) heads is 50%, what is the probability of first landing on heads on the fourth attempt? 00.625 0.500 00.412 00.382
7. A fair coin is flipped multiple times until it lands on heads. If the probability of landing on ( point) heads is 50%, what is the probability of first landing on heads on the third attempt? ○ 0,096 0.107 o 0.121 00.125
Suppose Tori has an unfair coin which lands on Tails with probability 0.28 when flipped. If she flips the coin 10 times, find each of the following: Question 2 options: The standard deviation of the number of Tails P(Exactly 1 Tail) P(More than 3 Tails) The mean number of Tails P(At least 5 Tails) P(No more than 3 Tails) P(Less than or equal to 2 Tails) P(Exactly 4 Tails) P(At least 1 Tail) P(No Tails) 1. 0.1798 2. 0.7021 3....
1. A fair coin is flipped four times. Find the probability that exactly two of the flips will turn up as heads. 2. A fair coin is flipped four times. Find the probability that at least two of the flips will turn up as heads. 3. A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 3. 4. A six-sided dice is rolled twice. Find the probability that the larger of...