Answer:
The probability of the student incorrectly solves the next problem is 44%.
Step-by-step explanation:
Let E be the event of solving a problem correctly.
Then E' is the event that the problem is solved incorrectly.
Now, recall the definition of probability.
probability of an event = [tex]\frac{number of favorable events}{total number of events}[/tex]
So,
p(E) = [tex]\frac{40}{72}[/tex]
Also,
p(E) + p(E') = 1 and
p(E') = 1 - p(E)
= 1 - [tex]\frac{40}{72}[/tex]
= [tex]\frac{72-40}{72}[/tex]
= [tex]\frac{32}{72}[/tex]
= [tex]\frac{4}{9}[/tex]
= [tex]\frac{4}{9} (100)[/tex]
= 44% rounded.
Hence, the probability of the student incorrectly solves the next problem is 44%.
