Question

A fair coin is to be flipped seven times. We assume that the resuts of the various flips are independent of each other. What is the probability of getting three heads and four tails in the specific order HHHTTT?

Answer 1

The probability is Zero

Explanation:

There is two possible outcome from a toss of a fair coin = [H,T].

If the coin is flipped seven times, then we have: 2^7 = 128 possible outcomes

However, there won't be outcome in that specific other - [HHHTTTT].

By probability of an event:

Probability = number of event/total number of possible outcome

The event HHHTTTT = 0.

Thus,

Pr[HHHTTTT] = 0/128 = 0.