Answer:
Probability to solve 7 problem will be equal to [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
It is given total number of question = 10
She can solve 8 of them from 10 questions
We have to find the probability that she can solve 7 question
Probability will be equal to ratio of favorable outcome to total sample space
Favorable outcome will be equal to [tex]^8c_7[/tex]
Total sample space [tex]=^{10}c_7[/tex]
So probability will be equal to [tex]P=\frac{^8C_7}{^{10}C_7}=\frac{6}{90}=\frac{1}{15}[/tex]
So probability to solve 7 problem will be equal to [tex]\frac{1}{15}[/tex]
