To determine the probability of picking a yellow flower at random from the given data, follow these steps:
1. Identify the number of yellow flowers:
According to the table, the total number of yellow flowers is 135.
2. Identify the total number of all flowers:
The table indicates that the total number of all flowers is 315.
3. Calculate the probability of picking a yellow flower:
The probability is given by the ratio of the number of yellow flowers to the total number of flowers:
[tex]\[
\text{Probability of yellow flower} = \frac{\text{Number of yellow flowers}}{\text{Total number of flowers}} = \frac{135}{315}
\][/tex]
4. Convert the fraction to a decimal:
Performing the division [tex]\( \frac{135}{315} \)[/tex] gives us approximately 0.429.
Therefore, the probability of picking a yellow flower at random is [tex]\( 0.429 \)[/tex].
The correct answer is:
D. [tex]\( \quad 0.429 \)[/tex]
