# Get 20 points from a target board

A target board consists of four parts, and each part has different numbers on it. You will make at most $10$ shots, and every shot's point will be added to your score. If you get a score of $20$ points at any point while you are shooting, you win the game.

The most interesting part of this game is that you decide what numbers are on each part of the target board, and you know that your probabilities of hitting each of these parts and missing the board are equal.

So

What numbers you should put on each part of the board to maximize your chance to win?

and

What is your chance to win the game?

• Is it the same board for all contenders? How many contenders are there? Do they have to take all 10 shots if they don't end up on a score of 20? – Ontamu Sep 5 '18 at 8:24
• @Kruga each part has different numbers – Ontamu Sep 5 '18 at 8:24
• @Ontamu it is invidivual race, the order does not matter, you just want to increase your chance to win. imagine that you are the only contender. – Oray Sep 5 '18 at 8:25
• @Oray I really like your puzzles! They're all slightly more math/logic oriented than just wordplay! Here's a +1. Please don't stop making these puzzles :) – nikki Sep 6 '18 at 0:28
• Can the player put negative numbers? – Royi Feb 9 at 9:11