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satela [25.4K]
3 years ago
10

In a standard deck of cards, the jack, queen, and king are "face cards." you draw a card from a standard deck. your friend peeks

and lets you know that your card is a face card. what is the probability that it is not a king given that it is a face card? leave your answer as a fraction
Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer: \dfrac{2}{3}

Step-by-step explanation:

Total number of cards in a deck = 52

Number of face cards = 12  ( 4 King + 8 others)

The probability that a card is face card P(Face card)= \dfrac{\text{Number of face cards }}{\text{Total cards}}

\\\\=\dfrac{12}{52}=\dfrac{3}{13}

Number of cards are not king = 8

The probability that a card is face card are not King :

P( Face card and not king )= \dfrac{\text{Number of face cards are not King}}{\text{Total cards}}

\\\\=\dfrac{8}{52}=\dfrac{2}{13}

Using conditional probability formula ,

\text{P(Not king}|\text{ Face card})=\dfrac{\text{P( Face card and not king )}}{\text{ P(Face card)}}

=\dfrac{\dfrac{2}{13}}{\dfrac{3}{13}}=\dfrac{2}{3}

Hence, the probability that it is not a king given that it is a face card =\dfrac{2}{3}

vlada-n [284]3 years ago
6 0
If the Ace is a face card, then the answer will be 16/52 or 4/13 simplified.
If the Ace is NOT a face card, then the answer will be 12/52 or 3/13 simplified.
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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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3 years ago
O comprimento de um retângulo é 6x e sua largura é 5y. A) Escreva uma expressão algébrica que representa o perímetro desse retân
Kobotan [32]

Answer:

A) 12x + 10y

B) 118cm

Step-by-step explanation:

A) A fórmula para calcular o perímetro de um retângulo é dada como:

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

Onde

L = comprimento do retângulo

W = largura do retângulo

A) A pergunta nos diz que:

O comprimento de um retângulo é 6x e sua largura é 5y.

A expressão algébrica que representa o perímetro do retângulo =

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

L = 6x, W = 5y

= 2 (6x) + 2 (5y)

= 12x + 10y

A expressão algébrica que representa o perímetro do retângulo é

P = 12x + 10y

B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.

P = 12x + 10y

x = 4cm

y = 7cm

Perímetro = 12 (4) + 10 (7)

Perímetro = 48cm + 70cm

Perímetro do retângulo = 118cm

Portanto, o valor numérico do perímetro é 118cm

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