A coin is flipped ten times aWhat is the probability that th

A coin is flipped ten times.

a).What is the probability that the first two flips are the same?

b).What is the probability that at least one flip comes up heads?

c).What is the probability that there is a run of at least 8 consecutive flips that come up the same?

d).What is the probability that there are two consecutive flips that are the same?

e).What is the probability that the number of heads is equal to the number of tails?

Solution

a)

P( x = 2) = 10C2 * 0.5^2 * 0.5^8 = 0.01098

b)

P( x >= 1 ) = 1 - P(x < 1) = 1 - P(X=0)

P(x=0) = 10C0 * 0.5^0 * 0.5^10 = 0.0009766

P( x >= 1 ) = 0.9990

for the other literals

I can gladly help you but you should post it in a new question

A coin is flipped ten times. a).What is the probability that the first two flips are the same? b).What is the probability that at least one flip comes up heads?

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