We have been given a table that shows the number of feathers Patsy the Peacock sold at each of the 8 festivals this year. We are asked to find the probability that Patsy sells fewer than 5 feathers next festival.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}}[/tex]
Number of favorable outcomes would be number of feathers less than 5.
We can see that there are 6 numbers less than 5 that are 3, 1, 4, 2, 3, 2.
The total number of years is 8. Upon substituting these values in probability formula, we will get:
[tex]\text{Probability of selling fewer than 5 feathers}=\frac{6}{8}[/tex]
[tex]\text{Probability of selling fewer than 5 feathers}=\frac{3}{4}[/tex]
[tex]\text{Probability of selling fewer than 5 feathers}=0.75[/tex]
Let us convert 0.75 into percent.
[tex]0.75\times 100\%=75\%[/tex]
Therefore, the probability that Patsy sells fewer than 5 feathers next year would be 75% and option D is the correct choice.
