select the correct answer. based on the data in this two - way table, which statement is true? type of…

Answer:

A. A flower being pink and a flower being a rose are independent of each other.

Explanation:

Step1: Recall independence formula

Two events (A) and (B) are independent if (P(A\cap B)=P(A)\times P(B)). Let (A) be the event of a flower being pink and (B) be the event of a flower being a rose.

Step2: Calculate probabilities

(P(A)=\frac{60}{315}=\frac{4}{21}), (P(B)=\frac{105}{315}=\frac{1}{3}), and (P(A\cap B)=\frac{20}{315}=\frac{4}{63}).

Step3: Check independence

(P(A)\times P(B)=\frac{4}{21}\times\frac{1}{3}=\frac{4}{63}), which is equal to (P(A\cap B)). So the two - events are independent.