A fair coin is tossed 4 times. a) How many outcomes are there in the sample space? b) What is the pr

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A fair coin is tossed 4 times.
    a) How many outcomes are there in the sample space?
    b) What is the probability that the third toss is heads, given that the first toss is heads?
    c) Let A be the event that the first toss is heads, and B be the event that the third toss is heads. Are A
    and B independent? Why or why not?

    a) 2^4 = 16 on our coin toss calculator
    b) On the link above, 4 of those outcomes have H and H in toss 1 and 3. So it's 1/4 or 0.25
    c) Yes, each toss is independent of each other.
     

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