Question

Based on the data in this two-way table, which statement is true? Type of Flower/Color Red Pink Yellow Total Rose 40 20 45 105 Hibiscus 80 40 90 210 Total 120 60 135 315 A flower being pink and a flower being a rose are independent of each other. A flower being pink is dependent on a flower being a rose. A flower being a rose is dependent on a flower being pink. A flower being pink and a flower being a rose are the same. NextReset

Answer 1

The answer would be 
A.) A flower being pink and a flower being a rose are independent of each other

Answer 2

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 = $\frac{60}{315}=\frac{4}{21}$

The probability that the flower is rose = $\frac{105}{315}=\frac{1}{3}$

Te probability that flower is pink and rose = $\frac{20}{315}$=$\frac{4}{63}$

Also we can see, $\frac{4}{21} \times \frac{1}{3} =\frac{4}{63}$

Therefore, we can state that events are independent.

Hence, option A is correct.