HHHH,
HHHT, HHTH, HTHH, THHH,
HHTT, HTHT, HTTH, THHT, THTH, TTHH,
HTTT, THTT, TTHT, TTTH,
TTTT.
The sample space consists of all the possible outcomes. A flip of a coin has 2 outcomes, H,T. The total number of outcomes for 6 flips are 26 or 64.
5 outcomes if the sequence is ignored. 24 = 16 outcomes in all.
50%. there are only 2 choices heads or tails and that doesn't change no matter how many times you flip the coin
Highly probable - APEX :)
The probability of the coin landing "head" side up is 50/50, meaning it could land "head" side up or "tail" side up. The odds of any single coin flip are always the same, no matter what happened on the previous tosses -- provided the coin is not a "double-head" (or "double-tail") "trick" coin
The sample space consists of all the possible outcomes. A flip of a coin has 2 outcomes, H,T. The total number of outcomes for 6 flips are 26 or 64.
5 outcomes if the sequence is ignored. 24 = 16 outcomes in all.
50%. there are only 2 choices heads or tails and that doesn't change no matter how many times you flip the coin
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.
The correct answer is 1/2. The first two flips do not affect the likelihood that the third flip will be heads (that is, the coin has no "memory" of the previous flips). If you flipped it 100 times and it came up heads each time, the probability of heads on the 101st try would still be 1/2. (Although, if you flipped it 100 times and it came up heads all 100 times - the odds of which are 2^100, or roughly 1 in 1,267,650,000,000,000,000,000,000,000,000 - you should begin to wonder about whether it's a fair coin!). If you were instead asking "What is the probability of flipping a coin three times and having it land on "heads" all three times, then the answer is 1/8.
Highly probable - APEX :)
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 probability of the coin landing "head" side up is 50/50, meaning it could land "head" side up or "tail" side up. The odds of any single coin flip are always the same, no matter what happened on the previous tosses -- provided the coin is not a "double-head" (or "double-tail") "trick" coin
Each flip has two possible outcomes and they are independent events, so there are 24 = 16 possible results. Of these, only 2 (HHHH, TTTT) are the same 4 each time, Thus: probability = 2/16 = 1/8
Do you mean what are all the possible outcomes? Or what is the probability of a certain outcome? Need a little more information.
The probability that the coin lands on the heads ones: 1/2Two times (1/2)^2 = 1/4Five times (1/2)^5 = 1/32 (so 1 in 32 attempts)n times (1/2)^n
each time you flip the coin, probability to end on either side is 50% (or 0.5) (we disregard landing on the side). So, to land on the same side 7 times, it is: 0.5^7