Question

a monk crossbred plants, which can have purple or white flowers, and obtained 512 plants with white flowers and 354 plants with purple flowers. find the empirical probability that a plant had each type of flower. the probability a plant had white flowers is (square). (round to four decimal places as needed.)

Explanation:

Step1: Calculate total number of plants

Total number of plants \(n = 512+354=866\)

Step2: Calculate probability of white - flowered plants

The probability \(P(\text{white})\) of a plant having white flowers is given by the formula \(P=\frac{\text{Number of white - flowered plants}}{\text{Total number of plants}}\).
Substitute the values: \(P(\text{white})=\frac{512}{866}\)

$$P(\text{white})=\frac{512}{866}\approx0.5912$$

Answer:

\(0.5912\)