To determine the probability of picking a yellow flower at random, follow these steps:
1. Identify the total number of yellow flowers:
From the table, we see that there are 45 yellow roses and 90 yellow hibiscuses. Adding these, we get:
[tex]\[
45 + 90 = 135
\][/tex]
So, there are 135 yellow flowers in total.
2. Identify the total number of flowers:
From the table, summing up all the flowers of each color and type, we get:
[tex]\[
120 \, (\text{Red}) + 60 \, (\text{Pink}) + 135 \, (\text{Yellow}) = 315
\][/tex]
Thus, the total number of flowers is 315.
3. Calculate the probability of picking a yellow flower:
The probability [tex]\( P \)[/tex] of selecting a yellow flower is given by the ratio of the number of yellow flowers to the total number of flowers:
[tex]\[
P(\text{Yellow}) = \frac{\text{Number of Yellow Flowers}}{\text{Total Number of Flowers}} = \frac{135}{315}
\][/tex]
Simplifying this fraction:
[tex]\[
\frac{135}{315} \approx 0.42857142857142855
\][/tex]
4. Selecting the correct answer:
Looking at the choices given:
- A. 0.190
- B. 0.333
- C. 0.381
- D. 0.429
The closest value to our calculated probability [tex]\( 0.42857142857142855 \)[/tex] is 0.429.
Therefore, the correct answer is:
D. 0.429
