Answer:
P( at least 20|prime number) = 0.4667
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outocomes.
P( at least 20|prime number)
This is the probability of the number being at least 20, given that it is a prime number.
Desired outcomes:
Numbers that are at least 20 and prime.
They are: 23,29,31,37,4,43,47
There are 7 desired outcomes, so [tex]D = 7[/tex]
Total outcomes:
Prime numbers between 1 and 50.
They are: 2,3,5,7,11,13,17,19, 23,29,31,37,4,43,47
There are 15, so [tex]T = 15[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{7}{15} = 0.4667[/tex]
P( at least 20|prime number) = 0.4667
