How many possible combination outcomes consist of two heads when you toss a fair coin four times?

Solution:

When a coin is tossed four times the total number of outcomes which are possible are:

2⁴ = 16.

The total number of outcomes with two heads are :

hhtt, htht, htth, thth, thht, tthh i.e. 6.

Alternative Method

This problem could alternatively be treated as a problem of selection of a combination.

Since there are four trials being performed and the desired outcome is group of two heads the number of ways two heads can appear is given by

\(C_{2}^{4}\textrm{}\) = 4!/(2!2!) = 6 combinations of two heads

How many possible combination outcomes consist of two heads when you toss a fair coin four times?

Summary:

There are six possible outcomes of two heads when a fair coin is tossed four times.