Rules of snooker satisfied that the player was only positioning the ball, and not playing a shot or preparing to play one. When a player commits a foul, the opponent receives penalty points equal to the value of the ball "on", the value of the highest valued ball involved in the foul, or 4 points, whichever is greatest. When multiple fouls are made in one shot, only the most highly valued foul is counted. Penalty points are therefore at least 4 points and at most 7. Not hitting the ball "on" first is the most common foul. A common defensive tactic is to
Problem of points Problem of points The problem of points, also called the problem of division of the stakes, is a classical problem in probability theory. One of the famous problems that motivated the beginnings of modern probability theory in the 17th century, it led Blaise Pascal to the first explicit reasoning about what today is known as an expected value. The problem concerns a game of chance with two players who have equal chances of winning each round. The players contribute equally to a prize pot, and agree in advance that the first player to have won a certain number of rounds