sorry here is the working out. I know its very wrong.
Okay, so what you're doing here is noticing the word "given" is likely indicating conditional probability and blindly applying some probabilities that don't make sense to apply. You need to think about what's going on here:
Let's go step-by-step. Firstly, if it's conditional probability, let's write out the full equation:
Next, we need to figure out what each event is. So, Y must be the event that the first draw is a red tomato. X would be the event that the second draw is a tomato and the third draw is a green tomato. Finally, the intersection would be that he draws in the order of red, red, green.
Do you think you might be able to combine these two pieces of information to come to the right answer?