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A fair coin is flipped 5 times. The first 4 flips land "heads" up. What is the probability of "heads" on the next (5th flip) of this coin?

Science & Mathematics by Anonymous 2018-05-11 21:40:41

Social Science

A fair coin is flipped 5 times. The first 4 flips land "heads" up. What is the probability of "heads" on the next (5th flip) of this coin?

1 answer

  • Anonymous

    The event (A^B)=the last flip lands "head" with the previous 4 flips were "heads" =>P(A^B)=(1/2)^5 The even B=the consecutive 4 previous flips landed "heads" =>P(B)=(1/2)^4 P(the 5th flip lands "head")= P(A^B)/p(B)= (1/2)^5/(1/2)^4= 1/2

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