SOLUTION: A coin is weighted so that there is a 75% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability that the first three flips resul

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Question 1153372: A coin is weighted so that there is a 75% chance that it will come up "heads" when flipped.
The coin is flipped four times. Find the probability that the first three flips resulted in "heads", and the last flip resulted in "tails".
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
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Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

The probability that 1-st flip results in "head" is  0.75.


The probability that 2-nd flip results in "head" is 0.75.


The probability that 3-rd flip results in "head" is 0.75.


The probability that 4-th flip results in "tail" is 1-0.75 = 0.25.


These events are INDEPENDENT; therefore the final probability is the product


    P = 0.75*0.75*0.75*0.25 = 0.75%5E3%2A0.25 = 0.105469.    ANSWER

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