a flower vase contains 8 red roses, 10 white daisies, 6 yellow carnations, and 12 yellow daisies. a single…

a flower vase contains 8 red roses, 10 white daisies, 6 yellow carnations, and 12 yellow daisies. a single flower is selected at random. what is the probability that the flower selected is yellow or is a daisy? express your answer as a simplified fraction. enter your answer in the box.

a flower vase contains 8 red roses, 10 white daisies, 6 yellow carnations, and 12 yellow daisies. a single flower is selected at random. what is the probability that the flower selected is yellow or is a daisy? express your answer as a simplified fraction. enter your answer in the box.

Answer

Explanation:

Step1: Calculate total number of flowers

$8 + 10+6 + 12=36$

Step2: Calculate number of yellow flowers

$6 + 12=18$

Step3: Calculate number of daisies

$10 + 12=22$

Step4: Calculate number of yellow - daisies

$12$

Step5: Use the addition rule of probability

$P(\text{yellow or daisy})=\frac{18 + 22-12}{36}=\frac{28}{36}=\frac{7}{9}$

Answer:

$\frac{7}{9}$