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

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

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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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