A bag contains hair ribbons for a spirit rally. The bag contains 9 black ribbons and 6 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that Lila selects a black ribbon and Jessica selects a green ribbon? Express your answer as a fraction in simplest form.

Answer:Option B. [tex]\frac{9}{35}[/tex]Step-by-step explanation:A bag contains black ribbons = 9 Green ribbons = 6Total ribbons = 9 + 6 = 15First Lila selects a ribbon, the probability that Lila selects a black ribbon [tex]P_{1}[/tex] = [tex]\frac{9}{15}[/tex]Then Jessica selects a ribbon without replacement so the probability that Jessica selects green ribbon [tex]P_{2}[/tex] = [tex]\frac{6}{14}[/tex]P = [tex]P_{1}[/tex] × [tex]P_{2}[/tex]P = [tex]\frac{9}{15}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{54}{210}[/tex] = [tex]\frac{9}{35}[/tex]The probability that Lila selects a black ribbon and Jessica selects a green ribbon is [tex]\frac{9}{35}[/tex].