To solve this problem, follow these steps:
1. Determine the total number of peas observed:
- There are [tex]\(379\)[/tex] green peas and [tex]\(475\)[/tex] yellow peas.
- To find the total number of peas, add the number of green peas and yellow peas together:
[tex]\[
379 + 475 = 854
\][/tex]
- So, the total number of peas is [tex]\(854\)[/tex].
2. Calculate the probability of getting a green pea:
- The probability is found by dividing the number of green peas by the total number of peas.
[tex]\[
\text{Probability of green pea} = \frac{\text{Number of green peas}}{\text{Total number of peas}} = \frac{379}{854}
\][/tex]
- Performing this calculation, we get approximately [tex]\( \frac{379}{854} \approx 0.444 \)[/tex].
Hence, the probability of getting a green pea is approximately [tex]\(0.444\)[/tex].
Now, comparing this result to the expected probability of [tex]\(\frac{3}{4} \approx 0.75\)[/tex], we see that the observed probability ([tex]\(0.444\)[/tex]) is not particularly close to the expected probability ([tex]\(0.75\)[/tex]). This might suggest either a deviation due to random sampling variation or possibly some factor affecting the pea colors that wasn't accounted for in the initial expectation.
To conclude:
The probability of getting a green pea is approximately [tex]\(0.444\)[/tex].
