On a math test, 5 out of 20 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the statement:
On a math test, 5 out of 20 students got an A.
Determine the probability that 3 students chose at random got an A.
Solution:
In order to determine the probability that the three students chosen got an A, we simply need to find the probability of picking 1 student that got an A. To do so, we divide 5 by 20.
= 5/20
= 0.25
Now we need to divide 0.25 by 3.
= 0.25/3
=0.08333
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.
=0.08333(100)
=8.33%
FInal answer:
=8.33%