Possibilities on the first toss = 2. For each of these . . .
Possibilities on the second toss = 2. Fo reach of these . . .
Possibilities on the third toss = 2.
Total possible sequances in 3 tosses = 2 x 2 x 2 = 8.
Number of ways to get heads exactly twice = 3 .
H - H - T
H - T - H
T - H - H
Probability of exactly 2 heads in 3 tosses = 3/8 = 37.5% .
Odds = 3 in 8, or 5 to 3 against it.
They are HHT HTH and THH
suppose you flipped a coin 100 times you might have flipped heads 50 time and tails 50 times
The probability of getting 3 or more heads in a row, one or more times is 520/1024 = 0.508 Of these, the probability of getting exactly 3 heads in a row, exactly once is 244/1024 = 0.238
25%
If a coin is flipped 4 times, the probability of getting 3 heads is: 4C3 (1/2)^3 (1/2)^1 = 4(1/8)(1/2) = 4/16 = 1/4
7/8
They are HHT HTH and THH
suppose you flipped a coin 100 times you might have flipped heads 50 time and tails 50 times
The probability of getting 3 or more heads in a row, one or more times is 520/1024 = 0.508 Of these, the probability of getting exactly 3 heads in a row, exactly once is 244/1024 = 0.238
It is 4*(1/2)4 = 4/16 = 1/4
1 and a half
25%
The probability of flipping a fair coin four times and getting four heads is 1 in 16, or 0.0625. That is simply the probability of one head (0.5) raised to the power of 4.
If a coin is flipped 4 times, the probability of getting 3 heads is: 4C3 (1/2)^3 (1/2)^1 = 4(1/8)(1/2) = 4/16 = 1/4
About a 1 in 16 chance of getting a coin to land on heads 4 times in a row.
yes the coin is biased because it turned to heads 36 times.
The probability of flipping a coin 24 times and getting all heads is less than 1 in 16 million. (.524) It would seem that no one has ever done that.