Each flip can land in 2 ways. Total number of possible ways that 5 flips can land is
2 x 2 x 2 x 2 x 2 = 32 different ways.
There are only 5 different ways to get exactly 3 heads in a row in 5 flips.
They are:
H H H T T
H H H T H
T H H H T
T T H H H
H T H H H.
The probabilty is 5/32 = 15.625 percent.
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That's if you mean exactly 3 heads in a row ... no less and no more.
What if you asked for "at least 3 heads in a row" ?
There are 8 ways to do that:
The original five ways to get 3 in a row . . .
H H H T T
H H H T H
T H H H T
T T H H H
H T H H H
Plus 2 ways to get 4 in a row . . .
T H H H H
H H H H T
Plus a way to get 5 in a row . . .
H H H H H.
The probability of one of these outcomes is 8/32 = 25 percent.
the probability of getting heads-heads-heads if you toss a coin three times is 1 out of 9.
For 3 coin flips: 87% chance of getting heads at least once 25% chance of getting heads twice 13% chance of getting heads all three times
7/8
There are 8 permutations of flipping a coin 3 times, or of flipping 3 coins one time. They are, with the permutations of two heads bolded...TTTTTHTHTTHHHTTHTHHHTHHH... thus, the probability of flipping a coin 3 times and getting 2 heads is 3 in 8, or 0.375.
.125
The opposite of getting at most two heads is getting three heads. The probability of getting three heads is (1/2)^2, which is 1/8. The probability of getting at most two heads is then 1 - 1/8 which is 7/8.
the probability of getting heads-heads-heads if you toss a coin three times is 1 out of 9.
For 3 coin flips: 87% chance of getting heads at least once 25% chance of getting heads twice 13% chance of getting heads all three times
It is 1/8 = 0.125
25:75
Since a coin has two sides and it was tossed 5 times, there are 32 possible combinations of results. The probability of getting heads three times in 5 tries is 10/32. This is 5/16.
It is (1/2)3 = 1/8 or 0.125
7/8
The probability of flipping a coin 3 times and getting 3 heads is 1/2
The probability of getting all heads if you flip a coin three times is: P(HHH) = 1/2 ∙ 1/2 ∙ 1/2 = 1/8. The probability of getting all tails if you flip a coin three times is: P(TTT) = 1/2 ∙ 1/2 ∙ 1/2 = 1/8. The probability of getting all heads or all tails if you flip a coin three times is: P(HHH or TTT) = P(HHH) + P(TTT) = 2/8 = 1/4.
Each toss has a 1/2 probability of getting heads. Each toss is an independent event. So three heads in a row (heads AND heads AND heads) would have a probability of:1/2 * 1/2 * 1/2 = (1/2)^3 = 1/(2^3) = 1/8 = 12.5%
3 out of 8