The probability of drawing a heart from a standard deck of 52 playing cards is 1/4. the probability of drawing a face card from a standard deck of 52 playing cards is 3/13. based on this, drew determines that the probability of drawing a heart face card is 3/52. is this correct?

 The answer is YES.

Step-by-step explanation:  Let 'A' and 'B' represents the events of drawing a heart and a face card respectively from a standard deck of 52 playing cards.

Then, the probability of drawing a heart from a standard deck of 52 playing cards is

and the probability of drawing a face card from a standard deck of 52 playing cards is

So, the probability drawing a heart face card will be given by

Since we cannot draw a card that is both heart and face card, so the events 'A' and 'B' are independent.

Therefore, we have

Thus, Drew is absolutely CORRECT.