Question

D'marjay is going to flip one coin 4 times. The probability of heads is 1/2 and the probability of tails is 1/2 What is the fractional probability that it will be a combination of two heads and two tails in any order?
Consider all of the possible outcomes.

Answer 1

There are a total of 2^4 = 16 possible outcomes when flipping a coin 4 times (since each flip has 2 possible results).

The combinations of two heads and two tails in any order are as follows:
HHHT
HHTH
HTHH
THHH
TTTH
THTT
TTHT
HTTT

So there are a total of 8 outcomes that satisfy the condition of two heads and two tails in any order.

Therefore, the fractional probability of getting a combination of two heads and two tails in any order is 8/16 = 1/2.