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A bias coin whose head shows up with probability 0.22, then its tail shows up wi

ID: 2924002 • Letter: A

Question

A bias coin whose head shows up with probability 0.22, then its tail shows up with probability If this coin is thrown twice There are possible outputs - There are totally events, in which there are events, there are certain events, there are possible events . The probability that the coin disappears is - The probability that there are two faces show up is . The probability that there are two heads show up is .The probability that there are two tails show up is The probability that there is exactly one head shows up is - The probability that there are at least one tail show up is - The probability that exactly one head shows up given that at least one tail show up is

Explanation / Answer

If heads shows up with probability 0.22, then tail shows up with probability 1-0.22 = 0.78

If this coin is thrown twice, the possible outputs is {HH, HT, TH, TT}

There are 4 events, in which there are 0 impossible events, there are 2 certain events and 4 possible events.

The probability that the coin disappears is 0

The probability that there are two faces show up is = 1

The probability that there are two heads show up is = 1/4

The probability that there are two tails show up is = 1/4

The probability that there is exactly one head show up is = 1/2

The probability that there is exactly one tail show up is = 1/2

The probability that there is exactly one head show up given that at least one tail show up is =2/3

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