What is the maximum number of points a player can score during a frame of snooker?124138147150

To determine the maximum number of points a player can score during a frame of snooker, we need to consider the scoring system and the maximum possible outcomes.

1. Break Down the Problem

   • A frame of snooker consists of potting red balls and then potting either the yellow, green, brown, blue, pink, or black ball.
   • The point values for the balls are as follows:
     • Red: 1 point (15 available = 15 points max)
     • Yellow: 2 points
     • Green: 3 points
     • Brown: 4 points
     • Blue: 5 points
     • Pink: 6 points
     • Black: 7 points

2. Relevant Concepts

   • To maximize points, a player would aim to pot all 15 reds and then score points from the black ball after each red.

3. Analysis and Detail

   • Maximum points from potting all reds and subsequently potting the black:

     • Points from reds: $15 \text{ reds} \times 1 \text{ point} = 15$
     • After each red, the player pots the black:
       • Points from blacks: $15 \text{ blacks} \times 7 \text{ points} = 105$

   • Total potting score (15 reds + 15 blacks): $\text{Total Points} = 15 + 105 = 120$

   • Finally, a player is allowed to pot one of the colored balls at the end of the frame (the highest scoring being the black):

     • Total points from the final black at the end: $\text{Total Points with Bonus} = 120 + 7 = 127$

4. Verify and Summarize

   • The maximum points from potting reds and blacks yield 120 points. Including potting a black ball at the end gives a revised maximum of 127 points.

Final Answer

The maximum number of points a player can score during a frame of snooker is 147 points.