Two cards are drawn from a standard 52-card playing deck. What is the probability that the draw will yield an ace and a face card?

Please read the answer below.

Step-by-step explanation:

Let's recall the formula of the probability:

P = Number of favorable outcomes/Total number of possible outcomes

What is the probability that the draw will yield an ace and a face card?

Let's calculate the probability with reposition and without reposition:

With reposition (placing the card back in the deck):

Probability of drawing an ace:

P = 4/52 = 1/13 = 0.077 = 7.7%

Probability of drawing a face card:

P = 4/52 = 1/13 = 0.077 = 7.7%

Without reposition (not placing the card back in the deck):

Probability of drawing an ace:

P = 4/52 = 1/13 = 0.077 = 7.7%

Probability of drawing a face card:

P = 4/51 = 0.078 = 7.8%

Probability of the two events:

1/13 * 4/51 = 4/663 = 0.006 = 0.6%

if x decreases by 4 then y increases by 10

step-by-step explanation: