Jon and Paul are playing a card game.
Jon shuffles a set of 14 cards, numbered consecutively from 1 to 14.
He deals them, giving seven to Paul and seven to himself.
A player's score is the total of the numbers on the seven cards received.
Jon wins if his score is greater than Paul's score.
The number of possible winning scores available is:
The total number of points available is: .
To win, Jon must have a minimum of 53 points.
His maximum is the top seven cards: . points.
. . There are 25 winning scores . . . answer (b).