SOLUTION: A person is playing hopscotch. She lets the flip of a coin determine whether she's moving forwards, or backward. If she flips a head, she moves 1 step forward, and if she flips a t

Algebra ->  Probability-and-statistics -> SOLUTION: A person is playing hopscotch. She lets the flip of a coin determine whether she's moving forwards, or backward. If she flips a head, she moves 1 step forward, and if she flips a t      Log On


   

Question 1180018: A person is playing hopscotch. She lets the flip of a coin determine whether she's moving forwards, or backward. If she flips a head, she moves 1 step forward, and if she flips a tail, she moves 1 step backward. What is the probability that after 4 coin tosses, she will be in the same place?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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It is the probability of getting two tails and two heads of 4 flips in any order


    P(2T2H of 4) = C%5B4%5D%5E2%2A%281%2F2%29%5E2%2A%281%2F2%29%5E2 = %28%284%2A3%29%2F%281%2A2%29%29%2A%281%2F2%29%5E4 = 0.375.     ANSWER

Solved.


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