Question

Based on the data in this two-way table, which statement is true?

Answer 1

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

Step-by-step explanation:

We know that if event A and B are independent then

$\text{P(A)}\times\text{P(B)}=\text{P(A and B)}$

From  the given table we have ,

The number of pink flower = 60

Total number of roses = 315

Then ,the probability of selecting a pink flower :-

$\text{P(Pink)}=\dfrac{60}{315}$

The total number of roses = 315

Then , the probability of selecting a rose :-

$\text{P(Rose)}=\dfrac{105}{315}$

The number of pink roses = 20

Then , the probability of selecting a pink rose :-

$\text{P(Pink rose)}=\dfrac{20}{315}$

Now, the product of probabilities of pink flower and roses will be

$\dfrac{105}{315}\cdot\dfrac{60}{315}=\dfrac{20}{315}$

i.e. $\text{P(Pink)}\times\text{P(Rose)}=\text{P(Pink rose)}$

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

Answer 2

The question is asking to choose among the following choices that state the fact about the said data in the tables, and according to the given data, I would say that the answer would be letter A. a flower being pink and a flower being a rose are independent of each other. I hope this would help