George has put three coins in a line on the table and covered them up. They may have heads up (H) or tails up (T). When he uncovers them which is more likely, that he will see three heads or two heads and a tail?
Solution
One way to do this problem is to draw all the possible outcomes. In this case for three heads we have: HHH. For two heads and a tail we have HHT, HTH and THH. So it is more likely that George will get two heads and a tail than three heads. Alternatively it is least likely that she will have three heads.
Extension
What other possibilities are there for George’s coins? Say which are least likely, most likely and which are equally likely.