Question

a monk crossbred plants, which can have purple or white flowers, and obtained 559 plants with white flowers and 204 plants with purple flowers. find the empirical probability that a plant had each type of flower.

the probability a plant had white flowers is
(round to four decimal places as needed.)

the probability a plant had purple flowers is
(round to four decimal places as needed.)

Explanation:

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<reasoning>

Calculate the total number of plants

\[
\text{Total plants} = 559 + 204 = 763
\]

Calculate the empirical probability of white flowers

\[
P(\text{White}) = \frac{559}{763} \approx 0.732634 \approx 0.7326
\]

Calculate the empirical probability of purple flowers

\[
P(\text{Purple}) = \frac{204}{763} \approx 0.267365 \approx 0.2674
\]
</reasoning>

<answer>
A monk crossbred plants, which can have purple or white flowers, and obtained 559 plants with white flowers and 204 plants with purple flowers. Find the empirical probability that a plant had each type of flower.

The probability a plant had white flowers is <blank>0.7326</blank>
(Round to four decimal places as needed.)

The probability a plant had purple flowers is <blank>0.2674</blank>.
(Round to four decimal places as needed.)
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
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"Mathematics",
"Statistics",
"Empirical Probability"
]
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Answer:

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"current_concepts": [
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</pre_analysis>

<reasoning>

Calculate the total number of plants

\[
\text{Total plants} = 559 + 204 = 763
\]

Calculate the empirical probability of white flowers

\[
P(\text{White}) = \frac{559}{763} \approx 0.732634 \approx 0.7326
\]

Calculate the empirical probability of purple flowers

\[
P(\text{Purple}) = \frac{204}{763} \approx 0.267365 \approx 0.2674
\]
</reasoning>

<answer>
A monk crossbred plants, which can have purple or white flowers, and obtained 559 plants with white flowers and 204 plants with purple flowers. Find the empirical probability that a plant had each type of flower.

The probability a plant had white flowers is <blank>0.7326</blank>
(Round to four decimal places as needed.)

The probability a plant had purple flowers is <blank>0.2674</blank>.
(Round to four decimal places as needed.)
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Empirical Probability"
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