Question

you randomly draw cards from a standard deck and place them face up on the table. what is the probability that the first two cards will both be aces? (1 point) 1/169 1/221 1/2 1/26

Explanation:

Step1: Calculate the probability of drawing an ace first

A standard deck has 52 cards and 4 aces. The probability of drawing an ace first is $\frac{4}{52}=\frac{1}{13}$.

Step2: Calculate the probability of drawing an ace second

After drawing one ace, there are 51 cards left and 3 aces left. The probability of drawing an ace second is $\frac{3}{51}=\frac{1}{17}$.

Step3: Calculate the probability of both events

Since these are independent events (the outcome of the first draw affects the second draw), we multiply the probabilities. So, $\frac{1}{13}\times\frac{1}{17}=\frac{1}{221}$.

Answer:

$\frac{1}{221}$ (the second option)