If a fair coin is tossed four times, what is the probabil...
If a fair coin is tossed four times, what is the probability of obtaining at least one head?
12
14
1316
1516
Correct answer is D
P(at least one head) = 1 - P(4 tails)
Let p=12 = probability of head and q=12 = probability of tail.
(p+q)4=p4+4p3q+6p2q2+4pq3+q4
P(4 tails) = q4=(12)4=116
P(at least one head) = 1−116=1516
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