Question

7 this venn diagram shows the results of a survey identifying what colors some children liked.
7a what is the probability of a child liking blue and pink?
probability = 1/9
7b what is the probability of a child liking blue or pink but not both?
probability = enter your next step here

Explanation:

Step1: Find total number of children

First, we sum up all the regions in the Venn diagram. The regions are 10 (only blue), 3 (both blue and pink), 8 (only pink), and 6 (neither). So total number of children is \(10 + 3 + 8 + 6 = 27\).

Step2: Find number of children liking blue or pink but not both

The number of children liking only blue is 10 and only pink is 8. So the number of children liking blue or pink but not both is \(10 + 8 = 18\).

Step3: Calculate the probability

Probability is the number of favorable outcomes divided by total number of outcomes. So the probability is \(\frac{18}{27}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)