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In a genetics experiment on peas, one sample of offspring contained 361 green peas and 4 yellow peas. Based on those results, estimate the probability of getting an offspring pe reasonably close to the value of \( \frac{3}{4} \) that was expected? The probability of getting a green pea is approximately (Type an integer or decimal rounded to three decimal places as needed.)

Ask by Hodgson Rodriguez. in the United States
Feb 17,2025

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The estimated probability of getting a green pea is approximately 0.989.

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To estimate the probability of getting a green pea, we can use the formula for probability, which is the number of successful outcomes divided by the total number of outcomes. Here, the successful outcome is getting a green pea. You have 361 green peas and 4 yellow peas, so the total number of offspring is \( 361 + 4 = 365 \). Thus, the probability of getting a green pea is: \[ P(\text{green pea}) = \frac{361}{365} \approx 0.987 \] So, rounded to three decimal places, the probability is approximately \( 0.987 \). This aligns well with the expected value of \( \frac{3}{4} \), showcasing the power of Mendelian genetics in predicting outcomes in pea plants! How amazing is it to see classic experiments validating concepts that stir the curiosity of even modern scientists?

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