If identical twins and fraternal twins show the same correlation on a given characteristic, we could conclude that

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If identical twins (who share 100% of their genes) and fraternal twins (who share on average 50% of their genes) show the same correlation on a given characteristic, it suggests that genetic factors do not play a significant role in that trait. Instead, environmental factors or non-genetic influences are likely more important, leading to the conclusion that the trait is not heritable.

If Identical Twins and Fraternal Twins Show the Same Correlation