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    <p>This is an interesting problem, but I don't see the utility of this. Are you making a simulation? </p> <p>In any case, if I were in your position, I would have done the following for each ball, assuming you have all the relevant data corresponding to the players.</p> <p>I would break this into 4 stages and each outcome is defined by</p> <p><strong>a. Strategy</strong></p> <p><strong>b. Strength</strong></p> <p><strong>c. Randomness</strong></p> <p><strong>d. State of previous stages.</strong></p> <ol> <li><p>Define the fielding positions. According to the bowling team strategies, I would place my strong fielders in the critical <a href="http://en.wikipedia.org/wiki/Fielding_%28cricket%29" rel="nofollow">positions</a>. This could be done by a mix of strategy and some randomness.</p></li> <li><p>Define the ball. This would depend upon the bowler's skill (spinner/fast bowler/swing bowler), match situations(yorkers at the end of the innings etc), some random factors, and some rules(one bouncer per over etc)(See <a href="http://en.wikipedia.org/wiki/Bowling_%28cricket%29" rel="nofollow">here</a>). The result of this stage is a perfectly defined ball position/speed/orientation near the batsman (basically the trajectory).</p></li> <li><p>Define the stroke. This would depend upon the batsman's strength, match situations, some randomness and most importantly the definition of the ball from stage 2 (See [here])<a href="http://en.wikipedia.org/wiki/Batting_%28cricket%29" rel="nofollow">3</a>. This would define the next trajectory/ speed.</p></li> <li><p>Define the fielding. This is the most crucial for you w.r.t your question. Now this depends upon the field placements as per stage 1, fielder strength, and most crucially the definition of the ball trajectory from stage 3. Depending upon these factors, it could be a catch, or 0,1,2,4,6 runs. Some obvious implementations could be that if the position of the ball is almost bisecting two fielders and no other fieleders are nearby and if the speed of the ball is good enough to reach the boundary, it is 4 runs. Here you will have to implement the physics of the ball trajectory properly in stage 4. Not only this, if the trajectory is without touching the ground and if there is a player nearby this could be defined as a catch, if the ball has already touched the ground before reaching near the player, you could modify the trajectory to guide the ball back to the wicket keeper etc. Maybe you could implement simple rules here before getting into difficult situations such as run outs.</p></li> </ol> <p>Finally the ball is supposed to reach back to the bowler.</p> <p>All the best.</p>
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    1. COWell i need to simulate it so i can find who wins, also in a later stage i would like comments that's why i need the game to be as real as possible. In the meantime you wrote this i also updated the question which incorporates some of your ideas i think.
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    2. COProblem is that in the first stage i would like to keep it simple, but very extensible. I agree with the direction of the ball should be between fielders, and the nearest should try to catch it (with randomness factor). From the distance and fieldler speed i can get the time necessary to catch and return the ball to the bowler and from this i can extract the number of runs the batsmen did assuming a batsmen can do lets say 6 runs per minute.
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    3. COWell, you could also make it more precise since the length of the pitch is always 22yards. So, if you define the batsman speed to be pre-configured quantity, you could equate the length/speed to the amount of time taken by the ball to come back to solve get the number of runs more precisely. Anyway, as you mentioned this is getting more to the precise physics which you may not need initially
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