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%
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
The sample space is 23 or 8; which can be listed out as: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. There are 2 of the 8 that have exactly 2 heads; so the probability of exactly two coins landing on heads is 2/8 or 1/4.