Compute the following probabilities in connection with two t

Compute the following probabilities in connection with two tosses of a fair coin.

A.The probability that the second toss is heads.

B.The probability that the second toss is heads, given that the first toss is heads.

C.The probability that the second toss is heads, given that at least one of the two tosses is heads.

Solution

A)

Tosses are independent.

hence

P(2nd is heads) = 1/2 = 0.5 [ANSWER (still)]

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b)

Tosses are independent and does not influence each other.

Hence,

P(2nd is heads|1st is heads) = 0.5 [answer]

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c)

There are 3 results where at least one is heads:

HT
TH
HH

Of these 2 have a second toss heads.

Thus,

P(2nd is heads|at least one head) = 2/3 [ANSWER]