Answer:
[tex]\sf P(B\; and \;C)=\dfrac{5}{21}[/tex]
Step-by-step explanation:
To find P(B and C) using the given tree diagram, we need to multiply the probabilities along the path that represents both events.
Each branch on the tree diagram represents a possible outcome with its associated probability.
Follow the branch for event B and multiply the probability along that branch by the probability along the branch for event C:
[tex]\sf P(B\; and \;C)=\dfrac{5}{7} \times \dfrac{1}{3}\\\\\\P(B\; and \;C)=\dfrac{5}{21}[/tex]
