of the balloons recently sold by a party store, 4 were purple and 8 were other colors. considering this…

of the balloons recently sold by a party store, 4 were purple and 8 were other colors. considering this data, how many of the next 66 balloons sold would you expect to be purple? balloons

of the balloons recently sold by a party store, 4 were purple and 8 were other colors. considering this data, how many of the next 66 balloons sold would you expect to be purple? balloons

Answer

Explanation:

Step1: Calculate the proportion of purple balloons

The total number of balloons sold initially is $4 + 8=12$. The proportion of purple balloons is $\frac{4}{12}=\frac{1}{3}$.

Step2: Calculate the expected number of purple balloons

We expect the same proportion to hold for the next 66 - balloon sale. So the expected number of purple balloons is $\frac{1}{3}\times66 = 22$.

Answer:

22