What is the expected number of fair coin flips to get two consecutive heads?
Table of Contents
- 1 What is the expected number of fair coin flips to get two consecutive heads?
- 2 What is the probability of obtaining 2 heads on two tosses of coins?
- 3 How many coin flips on average it would take to get 5 heads in a row?
- 4 What is the probability of getting five consecutive heads from a fair coin toss?
- 5 When tossing three coins determine the probability of getting exactly two tails?
- 6 What are the odds for getting 2 heads when tossing 3 coins?
What is the expected number of fair coin flips to get two consecutive heads?
6
In other words, the first tails makes all the previous tosses “wasted” and that increases the conditional expected time by that many tosses. Therefore, x = 6. Thus, the expected number of coin flips for getting two consecutive heads is 6.
What is the probability of obtaining 2 heads on two tosses of coins?
The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25. A visual representation of the toss of two coins.
What is the probability of getting two tails and one head when you toss three fair coins at once?
There are 3 ways you can have 2 tails and 1 head, in any order. TTH, HTT, THT so the probability of getting one of these combinations is 3 X 0.125 = 0.375 or 3/8ths.
How many coin flips on average it would take to get 5 heads in a row?
If N=5 we get the answer: 62. The question can be generalized to what is the expected number of tosses before we get x heads.
What is the probability of getting five consecutive heads from a fair coin toss?
Therefore, the probability of getting a run of at least five consecutive heads in ten tosses of a coin is 112/1024 = . 109375 or 10.9375 \%.
What are the outcomes of tossing two coins?
When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.
When tossing three coins determine the probability of getting exactly two tails?
Since the outcome of a coin toss is equiprobable, the probability of getting exactly two tails out of three is equal to the number of ways to get two tails out of three – aka – divided by the total number of possible coin flip outcomes – aka . Ergo, 3/8 is the probability.
What are the odds for getting 2 heads when tossing 3 coins?
1/2
Answer: If you flip a coin 3 times, the probability of getting at least 2 heads is 1/2.