A card is drawn randomly from a standard 52-card deck. Find the following:Write all answers as simplified fractions (not mixed numbers).A. The probability the card drawn is a face card.P(face card drawn) is equal to   .B. The probability the card drawn is not a face card.P(not a face card drawn) is equal to   .C. The odds in favor of drawing a face card.The odds in favor of drawing a face card are   .D. Odds against drawing a face card.The odds against drawing a face card are

A. The probability the card drawn is a face card.

In a standard 52-card deck, there are 12 face cards (4 Jacks, 4 Queens, and 4 Kings). So, the probability of drawing a face card is the number of face cards divided by the total number of cards:

P(face card drawn) = Number of face cards / Total number of cards = 12 / 52 = 3 / 13

B. The probability the card drawn is not a face card.

The probability of not drawing a face card is 1 minus the probability of drawing a face card:

P(not a face card drawn) = 1 - P(face card drawn) = 1 - 3 / 13 = 10 / 13

C. The odds in favor of drawing a face card.

The odds in favor of an event are defined as the probability that the event will happen divided by the probability that the event will not happen:

Odds in favor of drawing a face card = P(face card drawn) / P(not a face card drawn) = (3 / 13) / (10 / 13) = 3 / 10

D. Odds against drawing a face card.

The odds against an event are defined as the probability that the event will not happen divided by the probability that the event will happen:

Odds against drawing a face card = P(not a face card drawn) / P(face card drawn) = (10 / 13) / (3 / 13) = 10 / 3