Your odds turn on which of the two of you is the more believable witness. The judge will have to decide which of you to believe. As a general rule, it is better to be in your position because courts tend to assume that the person who ran into another vehicle should have been driving slower, or farther behind, in order to have sufficient time to stop.
I agree with my collegue, that if the matter goes to trial, the judge can decide whether one of you is more credible then ther other. Your position as the car that is struck does help but is not necessarily dispositive. The judge can also decide that neither is credible, and find you both guilty of the charged offense. This is not necesarily a choice of one gets convicted and the other gets dismissed.
Your choices as I see them from your facts:
1. Plead guilty as charged. This will result in two points and a fine.
2. Plead not guilty. Go to trial and the judge can find you guilty. This will result in two points and a fine; or, the judge finds you guilty of a downgraded offense of Unsafe Driving, which results in no points but a larger fine; or, the judge finds you not guilty and dismisses the summons.
3. Discuss this matter with the prosecutor and see if he will agree to dismiss both, since you pushed for the tickets. On the other hand, since you pushed for the tickets you obviously want the other person held accountable. To do that, you will likely have to take the risk of going to trial.
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I agree with both Mr. Bailey and Mr. Hassan's wise observations.
You might find my Legal Guide helpful "How to Choose A Lawyer For You"
You might find my Legal Guide helpful " What Do I Tell My Lawyer"
Good luck to you.
God bless. I am in Chicago and do not practice in your state.
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