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Find the probability for the experiment of drawing a card at random from a standard deck of 52 playing cards.
1. The card is a face card.
2. The card is not a face card.
3. The card is a red face card.
4. The card is a 6 or lower. (Aces are low.)
5. The card is a 9 or lower. (Aces are low.)

Respuesta :

Answer:

1. 12/52 or 0.2308

2. 10/13 or 0.7692

3.  3/26 or 0.1154

4. 3/26 or 0.1154

5. 9/52 or 0.1731

Step-by-step explanation:

1.

The face card are king,queen and jack.

There are 12 face card in a deck of 52 cards i.e. 4 king, 4 queen and 4 jack.

P(FC)=12/52 or 0.2308

So, the probability that the card is a face card is 0.2308.

2.

The card is not a face card.

P(FC')=1-P(FC)=1-(12/52)=(52-12)/52=40/52=10/13

P(FC')=10/13 or 0.7692

So, the probability that the card is not a face card is 0.7692.

3.

The card is a red face card

There are 6 red face card in a deck of 52 cards i.e. 2 king, 2 queen and 2 jack.

P(RFC)=6/52

P(RFC)=3/26 or 0.1154

So, the probability that the card is a red face card is 0.1154.

4.

The card is a 6 or lower.

There are 6 cards in a deck of 52 cards that are 6 or lower i.e. 6,5,4,3,2 and ace.

P(6 or lower)=6/52

P(6 or lower)=3/26 or 0.1154

So, the probability that the card is a 6 or lower is 0.1154.

5.

The card is a 9 or lower.

There are 9 cards in a deck of 52 cards that are 9 or lower i.e. 9, 8, 7, 6, 5, 4, 3, 2 and ace.

P(9 or lower)=9/52

P(9 or lower)=9/52 or 0.1731

So, the probability that the card is a 9 or lower is 0.1731.
  1. Probability of the card is face card is 3/13
  2. Probability of the card is not face card , 10/13
  3. Probability of the card is a red card is, 3/26
  4. The probability of  card is a 6 or lower is 6/13
  5. The probability of  card is a 9 or lower is 9/13.

In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades , hearts , diamonds  and clubs.  King, Queen and Jack  are face cards. So, there are 12 face cards in the deck of 52 playing cards.

In a Deck of 52 playing cards,

Number of face card = 12

number of non face card = 40

Number of red face card = 6

Number of Ace cards = 4

So, Probability of the card is face card is , = 12/52 =3/13

Probability of the card is not face card ,= 40/52 =  10/13

Probability of the card is a red face card is,=6/52 =  3/26

The probability of  card is a 6 or lower is, = 24/52 =  6/13

The probability of  card is a 9 or lower is, = 36/52 =  9/13.

Learn more:

https://brainly.com/question/14219670

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