What is the probability of flipping a fair coin and having 4 consecutive heads?

A. 1/8

B. 1/16

C. 1/2

D. 1/6

Let X be the event of getting head on flip of a fair coin. As the coin is fair the probability of getting head or tail is same which is 1/2.

Now probability of getting 4 consecutive heads

P (4 consecutive heads) = P (head on first flip) * P (head on second flip) * P (head on third flip) * P (head on fourth flip)

= (1/2) * (1/2) * (1/2) * (1/2)

= 1/16

The probability of getting head on four consecutive flips is B. 1/16