Question

1. A fair coin is tossed 4 times, what is the probability that it lands on Heads each time?

Answer 1

When a coin is tossed four times, there are possible outcomes. Let H denote head appearing and T denote tail appearing. Then all possible outcomes are:

HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, TTTH, TTHT, THTT, HTTT, TTTT

Since the coin is fair, all these events are equally likely.

Therefore

Out of the 16 possible outcomes, only 1 is a favourable outcome (head appears each time ie HHHH)