標題:
tossing a coin
發問:
If I keep tossing a fair coin, what is the probability I get (i) the pattern HH before the pattern HT? (ii) the pattern HH before the pattern TH? ans: (i) 1/2 (ii) 1/4 could someone plz tell me how to get the answers?
i) if the outcome is T, it does not give the outcome, so ignore this when the outcome is H, then there is two possibilities one is H and one is T the probability of getting a H now is 1/2, and if it is not H then it gives a T so the probability of the pattern HH before the pattern HT is 1/2 ii) if the outcome is T first, its probability is 1/2 once there is a T, then it will give TH eventually, the pattern may be TT..TTH so the only chance that the pattern HH before the pattern TH is to get HH at the first two toss (since once there is a T, it will give TH pattern) so the probability is 1/2 x 1/2 = 1/4
其他解答:
tossing a coin
發問:
If I keep tossing a fair coin, what is the probability I get (i) the pattern HH before the pattern HT? (ii) the pattern HH before the pattern TH? ans: (i) 1/2 (ii) 1/4 could someone plz tell me how to get the answers?
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最佳解答:i) if the outcome is T, it does not give the outcome, so ignore this when the outcome is H, then there is two possibilities one is H and one is T the probability of getting a H now is 1/2, and if it is not H then it gives a T so the probability of the pattern HH before the pattern HT is 1/2 ii) if the outcome is T first, its probability is 1/2 once there is a T, then it will give TH eventually, the pattern may be TT..TTH so the only chance that the pattern HH before the pattern TH is to get HH at the first two toss (since once there is a T, it will give TH pattern) so the probability is 1/2 x 1/2 = 1/4
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