A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. one flower is chosen at random and given to a woman. another flower is then chosen at random and given to a different woman. what is the probability that both flowers are pink roses?

Given the statement:

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. one flower is chosen at random and given to a woman. another flower is then chosen at random and given to a different woman.

Determine the probability that both flowers are pink roses.

Solution:

Determine first the probability of picking up pink roses. To do this we divide the total number of pink roses, by the total number of flowers.

pink roses =4

total number of flowers = 16

= 4/16

= 0.25

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

= (0.25)(100)

= 25%

The probability of picking up 1 pink rose is 25%, hence to determine the probability of picking up two pink roses, we multiply 0.25 by itself.

= (0.25)(0.25)

= 0.0625

Now we need to convert 0.0625 into percentage.

= (0.0625)(100)

= 6.25%

Final answer:

The probability that both flowers are picked is 6.25%.