Answer:
start fraction 8 over 35 end fraction
Step-by-step explanation:
Let M represent Movies and C represent Coffee
The Probability that Jenna will go to the movies and go for coffee is
P ( M $ C) = [tex]\frac{1}{5}[/tex]
P ( M ║ C ) = [tex]\frac{7}{8}[/tex]
P (M) = ???
∴
P ( M $ C) = P (M) × P ( M ║ C )
[tex]\frac{1}{5}[/tex] = P (M) × [tex]\frac{7}{8}[/tex]
[tex]\frac{1}{5}[/tex] ÷ [tex]\frac{7}{8}[/tex] = P (M)
[tex]\frac{1}{5} *\frac{8}{7} = P (M)[/tex]
P (M) = [tex]\frac{8}{35}[/tex]
Hence, the probability that Jenna will go to the movies on any particular Saturday P (M) = [tex]\frac{8}{35}[/tex]
