Question

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

Answer 1

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