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If a fair coin is tossed eight times what is the probability of getting exactly 6 heads?
Wiki User
∙ 11y ago
You need a formula for this.
If the probability (in one toss) of getting head is "p", then the probability of getting exactly k heads out of n tosses is:
(n,k) p^k (1-p)^(n-k)
where (n,k) denotes the number of combinations of k elements among n.
You should also know that (n,k) = n! / (( n-k)! k! )
so here, with n=8, k=6, and p=.5 you have
(n,k) = 8*7 / 2 = 28
and your probability is :
28 * 1/2^6 * 1/2^2 = 28 / 256 = 7 / 64
Wiki User
∙ 11y ago
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What is the probability of getting 2 tails if 3 fair coins are tossed?
There are eight possible outcomes: HHH, HHT, HTT, HTH, TTT, TTH, THH, THT. Of these, 3 contain two tails: HTT, TTH, and THT and the probability of getting two tails is 3/8. If the question were 'getting at least two tails' then TTT would need to be included for a probability of 4/8 or 0.5.
Probability of getting a jack and then an eight?
the answer is 2/13
What is the probability of getting all tails if a coin is tossed 3 times?
There is a one in two chance of tails every time, rewritten as 1/2 The probability of tail 3 times in a row is 1/2 x 1/2 x 1/2= 1/8. So the answer is one in eight, or 12.5%
What is the probability of obtaining exactly seven heads in eight flips of a coin given that at least one is a head?
The probability of obtaining 7 heads in eight flips of a coin is:P(7H) = 8(1/2)8 = 0.03125 = 3.1%
What is the probability of getting a least one tail when tossing eight fair coins?
The probability of getting at least 1 tails is (1 - probability of getting all heads) The probability of getting all heads (no tails) is ½ x ½ x ½ x ½ x ½ x ½ x ½ x ½ = 1/256 = 0.00390625 so the probability of getting at least ONE tails is 1-0.30390625 = 0.99609375 = 255/256
10 coins are tossed once .The probalilty of getting exactly eight heads is?
The probability of getting exactly eight heads when tossing 10 coins once can be found using the binomial probability formula. Assuming a fair coin, the probability of getting a heads is 1/2. Plugging in the numbers, the probability of getting exactly eight heads is (10 choose 8) * (1/2)^8 * (1/2)^2 = 45/1024, which is approximately 0.04395.
What is the probability of getting exactly seven tails if you flip a coin eight times?
The probability of getting exactly seven tails if you flip a coin eight times is: P(7T1H) = 8∙(1/2)8 =0.03125 ≈ 3.1%
What is the probability of getting 2 tails if 3 fair coins are tossed?
There are eight possible outcomes: HHH, HHT, HTT, HTH, TTT, TTH, THH, THT. Of these, 3 contain two tails: HTT, TTH, and THT and the probability of getting two tails is 3/8. If the question were 'getting at least two tails' then TTT would need to be included for a probability of 4/8 or 0.5.
Probability of getting a jack and then an eight?
the answer is 2/13
What is the probability of getting exactly six tails if you flip a coin eight times?
(8!/(6!2!) / 2**8 = 28/256 = 7/64 = 0.109375
What is the probability of not drawing an ace or ten from a standard deck of 52 cards?
Probability that it is one of these eight cards is 8/52. Hence the probability of not getting these eight cards is 44/52
What is the probability of getting all tails if a coin is tossed 3 times?
There is a one in two chance of tails every time, rewritten as 1/2 The probability of tail 3 times in a row is 1/2 x 1/2 x 1/2= 1/8. So the answer is one in eight, or 12.5%
How many orders can heads and tails be tossed when a coin is tossed 3 times?
Eight.
What is the probability of obtaining exactly seven heads in eight flips of a coin given that at least one is a head?
The probability of obtaining 7 heads in eight flips of a coin is:P(7H) = 8(1/2)8 = 0.03125 = 3.1%
What is the probability of getting a least one tail when tossing eight fair coins?
The probability of getting at least 1 tails is (1 - probability of getting all heads) The probability of getting all heads (no tails) is ½ x ½ x ½ x ½ x ½ x ½ x ½ x ½ = 1/256 = 0.00390625 so the probability of getting at least ONE tails is 1-0.30390625 = 0.99609375 = 255/256
If you were to flip a coin eight times what is the probability of getting heads at least six times?
It is approx 0.1445
What is the probability of getting three or fewer heads on eight tosses of a coin?
It is 93/256 = 0.363 approx.
