Answer:
A. a flower being pink and a flower being a rose are independent of each other.
Step-by-step explanation:
Type of Flower/Color Red Pink Yellow Total
Rose 40 20 45 105
Hibiscus 80 40 90 210
Total 120 60 135 315
Now the probability, if the flower is pink = [tex]\frac{60}{315}=\frac{4}{21}[/tex]
The probability that the flower is rose = [tex]\frac{105}{315}=\frac{1}{3}[/tex]
Te probability that flower is pink and rose = [tex]\frac{20}{315}[/tex]=[tex]\frac{4}{63}[/tex]
Also we can see, [tex]\frac{4}{21} \times \frac{1}{3} =\frac{4}{63}[/tex]
Therefore, we can state that events are independent.
Hence, option A is correct.
