Sage-Tips

What is the expected number of coin flips until you get 2 consecutive heads?

6
The probability of this event is 1/4 and the total number of flips required is 2. Solving, we get x = 6. Thus, the expected number of coin flips for getting two consecutive heads is 6.

What is the expected number of tosses to get the first heads?

with k being the total number of tosses including the first ‘heads’ that terminates the experiment. And the expected value of X for a given p is 1/p=2. E(X)=1p, justifying its use above.] Hence we can expect to make two tosses before getting the first head with the the expected number of tails being E(n+r)−r=1.

What is the expected number of heads in 5 tosses?

2.5
1. What is the expected number of heads that come up when a fair coin is flipped five times? 5. That comes out to be 2.5.

How many tosses is 3 heads?

So it takes 14 tosses to get 3 heads in a row, then 30 tosses to get 4 heads in a row, and this grows exponentially in the number of consecutive tosses.

What is the probability of 2 tails in 3 tosses?

Namely you have 50\% probability for each outcome.

What is the probability of getting exactly 2 tails in 6 tosses of a fair coin?

Probability = 9* (1/6 * 1/6 * 1/6) = 9/216. Q3. (b) Harpreet tossed two different coins simultaneously.

What is the expected number of heads in 5 fair coin flips?

What is the expected number of heads that come up when a fair coin is flipped five times? 5. That comes out to be 2.5.

What is the probability of tossing a coin 12 times?

Aditya Banerjee. Probability of getting exactly 8 heads in tossing a coin 12 times is 495 4096. If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212, i.e. 4096 number of possible sequences of heads & tails.

How do you find the number of tosses until heads?

E(x ∣ T) is the expected number of tosses until heads if the first toss results in tails. Due to the independence assumption, after the first toss the situation is exactly the same as in the beginning, except that we must count the toss already occurred. So, E(x ∣ T) = 1 + E(x) .

How many heads does it take to toss a coin?

A fair coin is tossed repeatedly until 5 consecutive heads occurs. What is the expected number of coin tosses? Stack Exchange Network Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

How do you determine if a coin is a fair coin?

Closed 1 year ago. A fair coin is tossed repeatedly and independently until two consecutive heads or two consecutive tails appear. Find the PMF, the expected value, and the variance of the number of tosses.