Each penny independently has a 50% chance of landing on heads, one-in-two.
So our possibilities for one flip are:
H
T
For two flips:
HT HH
HT TT
Meaning that for two flips we're down to 1/4. 1/2 of the time the first one comes up heads, and 1/2 of those times, the second one will do. 1/2 * 1/2 = 1/4The third flip will be the same way:
HTH HTT HHT HHH
HTH TTT HTH TTH
Again, only in the case where we already have 2 heads is it possible to get another heads and still have all heads. Therefore, only half of the ones where there were already two heads will be three heads.
1/2 * 1/2 * 1/2 = 1/8 of the time. There is a 12.5% chance of all heads.
What is the chance of it landing on heads twice in a row?
The probability of the first coin landing heads is half (or 1/2). Similarly, the probability of the second and third coins landing heads are also 1/2 in each case. Therefore, the probability of having three heads is: (1/2)(1/2)(1/2) = (1/8)
1/8. The probability of flipping a coin three times and it landing on head is 1/2, as a coin only has two sides. You flip a coin three times, therefore the answer is (1/2)^3 = 1/8.
Each time you flip a coin, the probability of a given outcome is1/2. This is multiplied by itself every time you repeat the flip. three times: 1/2 * 1/2 * 1/2 = 1/8 decimal: .125The probability of a fair coin landing heads up is: P(H) = 1/2The probability of a fair coin landing heads up three times is: P(HHH) = (1/2)3 = 1/8= 0.125 = 12.5%One eighth or 12.5%
The probability of something NOT happening is the complement of the probability of something happening. Since the probability that you DO have 3 heads is 1/8 (that is, 1/2 cubed), the complement is 1 - 1/8 = 7/8.
What is the chance of it landing on heads twice in a row?
The probability of the first coin landing heads is half (or 1/2). Similarly, the probability of the second and third coins landing heads are also 1/2 in each case. Therefore, the probability of having three heads is: (1/2)(1/2)(1/2) = (1/8)
The probability is 0.09766%.Each toss has a ½ chance to be heads. To combine probabilities use multiply them. So the probability to get two heads out of two tosses is ½ * ½, and three heads out of three tosses is ½ * ½ * ½. So the exact answer is 0.5^10
Simple question, difficult answer. It depends on how many times you want the penny to land on heads. The probability of a penny landing on heads once is 1 in 2. For it to land on heads twice is 1 in 4, for three times it is 1 in 8, and so on and so forth.
1/8. The probability of flipping a coin three times and it landing on head is 1/2, as a coin only has two sides. You flip a coin three times, therefore the answer is (1/2)^3 = 1/8.
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.
Each time you flip a coin, the probability of a given outcome is1/2. This is multiplied by itself every time you repeat the flip. three times: 1/2 * 1/2 * 1/2 = 1/8 decimal: .125The probability of a fair coin landing heads up is: P(H) = 1/2The probability of a fair coin landing heads up three times is: P(HHH) = (1/2)3 = 1/8= 0.125 = 12.5%One eighth or 12.5%
When flipping two fair coins, each coin has a 50% chance of landing on heads. The probability of both coins landing on heads is calculated by multiplying the probabilities of each coin: (0.5 \times 0.5 = 0.25) or 25%. Therefore, the odds against both coins landing on heads are 3 to 1, meaning there are three outcomes (one head and one tail, or two tails) for every one outcome where both coins show heads.
The probability of something NOT happening is the complement of the probability of something happening. Since the probability that you DO have 3 heads is 1/8 (that is, 1/2 cubed), the complement is 1 - 1/8 = 7/8.
12.5%
Probably 3/4
Prob of heads = 1/2 Prob of 3 = 1/6 Prob of both = 1/2 x 1/6 = 1/12