Question

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a monk crossbred plants, which can have purple or white flowers, and obtained 731 plants with white flowers and 289 plants with purple flowers. find the empirical probability that a plant had each type of flower.

the probability a plant had white flowers is 0.7167.
(round to four decimal places as needed.)

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

Explanation:

Calculate total number of plants

We first sum the plants of both flower colors to find the total sample size.

$$ \text{Total plants} = 731 + 289 = 1020 $$

Find empirical probability of white flowers

Using the Empirical Probability concept, we divide the number of white-flowered plants by the total number of plants.

$$ P(\text{White}) = \frac{731}{1020} \approx 0.716666... $$

Rounding to four decimal places gives \(0.7167\).

Find empirical probability of purple flowers

Using the Empirical Probability concept, we divide the number of purple-flowered plants by the total number of plants.

$$ P(\text{Purple}) = \frac{289}{1020} \approx 0.283333... $$

Rounding to four decimal places gives \(0.2833\).

Answer:

Question 1

The probability a plant had white flowers is <blank>0.7167</blank>.
(Round to four decimal places as needed.)

Question 2

The probability a plant had purple flowers is <blank>0.2833</blank>.
(Round to four decimal places as needed.)