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What is the probability that the sequence will be head-head-tail when a fair coin is tossed three times?
Probability of the first head = 0.5Probability of the second head = 0.5Probability of the tail on the 3rd toss = 0.5Probability of the correct 3-toss sequence = (0.5 x 0.5 x 0.5) = 1/8 = 0.125 = 12.5%
If you toss a coin 1000 times and find that it comes up head 532 times what is the probability of getting a tail?
The probability is still 50%
What is the probability of getting a head and tail in a toss of coin?
In a single toss? zero. In two tosses, well that's a different question. Possible combinations are TT, HT, TH and HH, of which 2 of the 4 are one head and one tail. So probability is 0.50 in two tosses.
Suppose you have an extremely unfair coin the probability of a head is ¼ and the probability of a tail is ¾ If you toss the coin 32 times how many heads do you expect to see?
Expected number of heads is 1/4 * 32 or 8 heads.
What is the probability of getting two heads and one tail when a fair coin is tossed three times?
If the sequence matters (you want H-H-T in that order), then . . .Probability of the first head = 0.5Probability of the second head = 0.5Probability of the tail on the 3rd toss = 0.5Probability of the correct 3-toss sequence = (0.5 x 0.5 x 0.5) = 1/8 = 0.125 = 12.5%=====================================================If the sequence doesn't matter, then the probability is higher.All the possible results of 3 tosses are:TTTTTHTHTTHHHTTHTHHHTHHHIf the sequence doesn't matter, there are 3 different ways to get 2 heads and 1 tail.The probability is3/8 = 0.375 = 37.5%
