Answer:
The answer is C i.e the probability is [tex]\frac{4}{7}.\frac{3}{6}[/tex]
Step-by-step explanation:
Given 3 yellow tennis and 4 green tennis balls.
Now, Gordy will select one tennis balls which is green then the probablility of drawing one green tennis ball is
P(green tennis ball) = [tex]\frac{4}{7}[/tex]
Now another ball is chosen randomly without replacing that first ball which is also green therefore the events are dependent. Hence, conditional probability
P(green on second pick given green on first pick) = [tex]\frac{3}{6}[/tex]
Hence, Probability of both green tennis balls will be
P(two green tennis balls) = [tex]P(G)\times P(second green/first green)[/tex]
= [tex]\frac{4}{7}\times \frac{3}{6}[/tex]