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Swyk 10

The document outlines the probabilities of drawing specific types of cards from a standard 52-card deck, including red cards, red 4s, face cards, and 10s. It provides calculations showing that the probability of drawing a red card is 1/2, a red 4 is 1/26, a face card is 3/13, and a 10 is 1/13. The conclusion emphasizes the likelihood of each event occurring when a card is drawn at random.

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dr.anitha.somasundaram
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15 views7 pages

Swyk 10

The document outlines the probabilities of drawing specific types of cards from a standard 52-card deck, including red cards, red 4s, face cards, and 10s. It provides calculations showing that the probability of drawing a red card is 1/2, a red 4 is 1/26, a face card is 3/13, and a 10 is 1/13. The conclusion emphasizes the likelihood of each event occurring when a card is drawn at random.

Uploaded by

dr.anitha.somasundaram
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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SHOW WHAT

YOU KNOW-
UNIT 10

Ankith Kesavan JH-CTY Math


THE PROBLEM

• Jerry is playing a game with a standard 52-card deck.


• We have to calculate the probability of these events:
• Drawing a red card
• Drawing a red card that is also a 4
• Drawing a face card
• Drawing a card with a 10
PROBABILITY OF A RED CARD

• A deck has 52 cards total.


• There are 26 red cards (13 hearts + 13 diamonds).
• The total number of possible cards Jerry can pull is 52.
• The number of favorable cards (red cards) is 26.
• Probability of pulling a red card:
• P(red card)= favorable outcomes/ total outcomes
• =26/52 = 1/2
• This means there is a 1 in 2 chance, or a 50% chance, that Jerry will draw a red card.
PROBABILITY OF A RED 4

• There are 2 red 4s in a deck: 4♥ and 4♦.


Total possible outcomes = 52 (total cards in the deck)
Favorable outcomes = 2 (the two red 4s)
Probability of drawing a red 4:
P(red and 4) = Favorable outcomes / Total possible outcomes
= 2/52 = 1/26
PROBABILITY OF A FACE CARD

• Face cards are: Jack, Queen, and King.


There are 3 face cards in each suit.
Since there are 4 suits, the total number of face cards is:
3 × 4 = 12 face cards.
• Total possible cards: 52
Favorable cards (face cards): 12
• Probability of pulling a face card:
• P(face card)=12/52=3/13
PROBABILITY OF A 10

• There are 4 tens in a deck — one in each suit:


10♦, 10♥, 10♠, and 10♣.
• Total possible outcomes: 52 cards
Favorable outcomes (tens): 4 cards
• Probability of pulling a 10:
• P(10)=4/52=1/13
• This means there is a 1 in 13 chance that Jerry will draw a 10 from the deck.
CONCLUSION

• We used the formula:


Probability of an(event)=favorable outcomes/total outcomes
• Final results:
• Red card: 1/2
• Red 4: 1/26
• Face card: 3/13
• 10: 1/13
• These probabilities show how likely each type of card is when drawn at random.

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