The probability that Jase studies for his geometry test is
15
16
. The probability that Jase studies and makes an A is
17
20
. Jase studies for the test. What is the probability that he makes an A?
Answer: Probability that he makes an A is 0.91.
Step-by-step explanation:
Since we have given that
Probability that Jase studies for his geometry test = P(S) = [tex]\dfrac{15}{16}[/tex]
Probability that Jase studies and makes an A = P(S∩A) = [tex]\dfrac{17}{20}[/tex]
So, we need to find the probability that he makes an A i.e. P(A).
So, it becomes
[tex]P(A).P(S)=P(A\cap S)\\\\P(A)\times \dfrac{15}{16}=\dfrac{17}{20}\\\\P(A)=\dfrac{\dfrac{17}{20}}{\dfrac{15}{16}}\\\\P(A)=\dfrac{0.85}{0.9375}\\\\P(A)=0.9066666\\\\P(A)=0.91[/tex]
Hence, Probability that he makes an A is 0.91.
