Here is the question and how I answered it. I just need to make sure I did it right.

A cooler has 24 Greek yogurt containers and 6 vanilla yogurt containers. The person in charge of distributing the yogurt reaches into the cooler (without looking) and randomly picks them out of the cooler. What is the probability that your friend gets a Greek yogurt and that you get a vanilla yogurt? Leave answers as percentages rounded to one decimal place.

P(A'∩B)=P(A')×P(B|A') - This is the formula I used.

P(A'∩B)=24/30×6/29 (This shows that the Greek yogurt was selected first and then the vanilla was chosen second)

P(A'∩B)=144/870

P(A'∩B)=24/145=16.5%

Can someone please confirm that I answered this correctly and did not miss anything.