Problem

In a genetics experiment on peas, one sample of offspring contained 358 green peas and 3 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of $\frac{3}{4}$ that was expected?
The probability of getting a green pea is approximaloly (Type an integer or decimal rounded to three decimal places as needed.)

Answer

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Answer

Final Answer: The probability of getting a green pea is approximately \(\boxed{0.992}\).

Steps

Step 1 :The probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes. In this case, the successful outcome is getting a green pea, and the total number of outcomes is the total number of peas.

Step 2 :We have 358 green peas and 3 yellow peas, making a total of 361 peas.

Step 3 :To find the probability of getting a green pea, we divide the number of green peas by the total number of peas, which gives us \(\frac{358}{361} \approx 0.992\).

Step 4 :The probability of getting a green pea is approximately \(0.992\), which is higher than the expected value of \(\frac{3}{4}\) or 0.75. This could be due to random variation in the sample, or it could indicate that the actual probability is different from what was expected.

Step 5 :Final Answer: The probability of getting a green pea is approximately \(\boxed{0.992}\).

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