card is drawn randomly from a standard 52-card deck. Find the following:Write all answers as simplified fractions.Probability the card drawn is a face card.  Probability the card drawn is not a face card.  Odds in favor of drawing a face card.  Odds against drawing a face card.

1. Probability the card drawn is a face card:

A standard deck has 52 cards: 4 suits of 13 cards (Ace through 10, and the face cards Jack, Queen, and King). So, there are 3 face cards per suit, and thus 12 face cards in the deck (3 face cards/suit x 4 suits = 12 face cards).

The probability of drawing a face card is the number of face cards divided by the total number of cards, or 12/52. This simplifies to 3/13.

2. Probability the card drawn is not a face card:

There are 40 cards that are not face cards (52 total cards - 12 face cards = 40 non-face cards). So, the probability of drawing a non-face card is 40/52. This simplifies to 10/13.

3. Odds in favor of drawing a face card:

Odds in favor are defined as the probability of the event happening divided by the probability of the event not happening. So, the odds in favor of drawing a face card are (3/13) / (10/13) = 3/10.

4. Odds against drawing a face card:

Odds against are the inverse of odds in favor, or the probability of the event not happening divided by the probability of the event happening. So, the odds against drawing a face card are (10/13) / (3/13) = 10/3.