Ans when a coin is flipped n times, the total number of possible outcomes is 2^n
In this case coin is flipped 3 times, the total number of possible outcomes is 2^3 = 8
The correct ans is D
When a coin is flipped 3 times, there are a total of possible different sequence outcomes...
When a coin is flipped 3 times, what is the Probability that you get at least one Heads? TIP: Write out all the possible sequence outcomes of what can happen when you flip a coin 3 times and think about what the 'at least one' means to us here. O 1/2 or 0.5 3/4 or 0.75 O 7/8 or 0.875 8/8 or 1
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...
when coin 2 is flipped it lands on heads with When coin 1 is flipped, it lands on heads with probability probability (a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands...
please write clear and show work
19. A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes a) are there in total? b) contain exactly two heads? c) contain at most three tails? d) contain the same number of heads and tails?
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...
3. A fair coin is flipped eight times and the number of heads is counted. Calculate the probability that the coin will land heads more than 6 times. 4. A coin is flipped 8 times. Calculate the mean, variance and standard deviation
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?
(1 point) A coin is tossed 9 times a) How many different outcomes are possible? b) What is the probability of getting exactly 5 heads? c) What is the probability of getting at least 2 heads? d) What is the probability of getting at most 5 heads?
2. A coin is altered so that the p coin is flipped three times as altered so that the probability of getting a head on every flip is 0.6. Suppose this (*) is flipping the coin a binomial experiment? Explain by checking if the four properties of binomial experiments are satisfied. (b) What is the probability that there are at least two heads? (c) What is the probability that an odd number of heads turn out in 3 flips? (d)...
12. The total number of heads for a coin flipped four times is a random variable X with the following probability distribution P(X-0) 0.0625 PX-1) 0.2500 P(X-2) 0.3750 POX-3) 0.2500 P(X-4) 0.0625 Draw a graph of the density function. 13. The total number of heads for a coin flipped four times is a random variable X with the following probability distribution. P(X-0) 0.10 P(X-1) 0.40 P(X-2) 0.20 P(X-3) 0.10 P(X-4) 0.20 Determine the mean and variance of x.