Calculating Genetic Probabilities with Punnet Squares

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SUMMARY

This discussion focuses on calculating genetic probabilities using Punnett squares, specifically addressing the addition rule of probability. The example provided involves two shirts and two pants, with each having a probability of 1/2. The correct approach to determine the probability of wearing either shirt #1 or pants #1 is to consider the total possible outcomes and the specific outcomes that meet the criteria, rather than simply adding the probabilities. The discussion clarifies that if both items are included in the condition, the only outcome that does not satisfy it is wearing shirt #2 and pants #2 together.

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at2341
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I'm trying to work out genetic probabilities using the punnet square.

Let's say I have 2 shirts and 2 pants. The odds of me wearing shirt #1 is 1/2. The odds of me wearing pants #1 is 1/2. Does this mean that the odds of me wearing shirt #1 or Pants #1 is 1 (100%) (addition rule - 1/2 + 1/2). This seems counterintuitive.

Is the answer that I have to subtract out from 100% the odds of me wearing BOTH shirt #1 and pants #1?

Thanks
 
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at2341 said:
I'm trying to work out genetic probabilities using the punnet square.

Let's say I have 2 shirts and 2 pants. The odds of me wearing shirt #1 is 1/2. The odds of me wearing pants #1 is 1/2. Does this mean that the odds of me wearing shirt #1 or Pants #1 is 1 (100%) (addition rule - 1/2 + 1/2). This seems counterintuitive.
No, it's not simple addition.

When you are looking at the probability of wearing shirt 1 OR pants 1, how many possible outcomes total do you have of shirts and/or pants? And how many possible outcomes would fulfill the requirement of having shirt 1 OR pants 1? [/quote]
Is the answer that I have to subtract out from 100% the odds of me wearing BOTH shirt #1 and pants #1?
No, that's not what you would subtract out. Though, one should be careful of how the question is phrased. If you need to determine any combination where shirt 1 or pants 1 (or both) is included, then both is within that same set of outcomes you need to consider, and the only outcome that will NOT satisfy your conditions is shirt 2 and pants 2 together.

On the other hand, if it says shirt 1 OR pants 1, but NOT both, then the outcome with shirt 1 AND pants 1, as well as the outcome of shirt 2 AND pant 2, are both excluded.
 

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