Acceso
Prima
Hogar Banco de preguntas Matemáticas Probability
Pregunta
upstudy study bank question image url

he king, queen and jack of clubs are removed from a deck of 52 card and the remaining cards
re shuffled. A card is drawn from the remaining cards find the probability of getting
(1) A card of heart (2) a face card
SECTION C

Ask by Schmidt Mills. in India
Jan 21,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The probability of drawing a heart is 13⁄49, and the probability of drawing a face card is 9⁄49.

Solución

Let’s analyze the problem step by step.

Initial Setup:

  • Total cards in a standard deck: 52
  • Cards removed: King, Queen, and Jack of Clubs (3 cards)
  • Remaining cards: 52 - 3 = 49 cards

1. Probability of Drawing a Heart

  • Total Hearts in a Deck: 13 (one for each rank)
  • Cards Removed: Since only clubs are removed, none of the hearts are affected.
  • Remaining Hearts: 13
Probability:

2. Probability of Drawing a Face Card

  • Total Face Cards in a Deck: 12 (3 face cards in each of the 4 suits)
  • Face Cards Removed: King, Queen, and Jack of Clubs (3 cards)
  • Remaining Face Cards: 12 - 3 = 9
Probability:

Final Answer:

  1. Probability of drawing a heart is 13⁄49;
  2. Probability of drawing a face card is 9⁄49.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

With the king, queen, and jack of clubs removed, you’re left with 49 cards in total. There are 13 hearts in a full deck, and since none were removed, the probability of drawing a heart is 13/49. That’s roughly 26.5%! Quite a lucky draw if you ask me!
For the face cards, you’ve taken out 3 face cards (the king, queen, and jack of clubs), leaving you with 9 face cards in the remaining deck (the 3 hearts, 3 diamonds, and 3 spades). So, the probability of drawing a face card is 9/49—about 18.4%. So keep your fingers crossed for those face cards!

preguntas relacionadas

An ice chest contains six cans of apple juice, four cans of grape juice, seven cans of orange juice, and eight cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no apple juice. The probability of selecting no apple juice from the ice chest is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
Question 12, 11.7.41 ⩽ AW Score: 29.69%,  An ice chest contains six cans of apple juice, four cans of grape juice, seven cans of  orange juice, and eight cans of mango juice. Suppose that you reach into the container and  randomly select three cans in succession. Find the probability of selecting no apple juice.  The probability of selecting no apple juice from the ice chest is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting a can of orange juice, then a can of mango juice, then a can of grape juice. The probability of selecting from the ice chest a can of orange juice, then a can of mango juice, then a can of grape juice is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
An ice chest contains 5 cans of apple juice, 6 cans of grape juice, 6 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice. The probability of selecting from the ice chest three cans of grape juice is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
You are dealt one card from a 52 -card deck. Find the probability that you are dealt a flive or 0 of 1 a red card. The probability is ◻. (Type an integer or a fraction. Simplify your answer.)
Probability United States Mar 31, 2025

Latest Probability Questions

Points: 0 of 1 Save Use the spinner shown. It is equally probable that the pointer will land on any one of the six regions. If the pointer lands on a borderline, spin again. If the pointer is spun twice, find the probability that it will land on blue and then blue. Find the probability that the spinner will land on blue and then blue. The probability is ◻ . (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
An ice chest contains six cans of apple juice, four cans of grape juice, seven cans of orange juice, and eight cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no apple juice. The probability of selecting no apple juice from the ice chest is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
Question 12, 11.7.41 ⩽ AW Score: 29.69%,  An ice chest contains six cans of apple juice, four cans of grape juice, seven cans of  orange juice, and eight cans of mango juice. Suppose that you reach into the container and  randomly select three cans in succession. Find the probability of selecting no apple juice.  The probability of selecting no apple juice from the ice chest is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
An ice chest contains 5 cans of apple juice, 6 cans of grape juice, 6 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice. The probability of selecting from the ice chest three cans of grape juice is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting a can of orange juice, then a can of mango juice, then a can of grape juice. The probability of selecting from the ice chest a can of orange juice, then a can of mango juice, then a can of grape juice is (Type an integer or a simplified fraction.)
Probability United States Mar 31, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.