If two cards are drawn at random without replacement from a standard deck, find the probability that at least 1 card is a face up.
With sample point method, I got ${12 \choose 1}$ ${40\choose 1}$ +${12 \choose 2}$ ${40 \choose 0}$ divided by ${52 \choose 2}$, getting 53/663 but when i do event composition, I got 7/17 from doing 1-(40/52 * 34/51).
I am not sure what I am doing wrong because aren' they suppose to be the same?
Best Answer
The correct answer is $\frac{7}{17}$. I think you made a computational mistake in your first calculation.