Questions: Question There are 26 cards in a hat, each of them containing a unique capital letter of the English alphabet. If one card is chos random, what is the probability that it is not among the letters H through J, inclusive? - Write your answer in fraction form. Reduce the fraction if necessary. Provide your answer below: FEEDBACK MORE INSTRUCTION

Question There are 26 cards in a hat, each of them containing a unique capital letter of the English alphabet. If one card is chos random, what is the probability that it is not among the letters H through J, inclusive? - Write your answer in fraction form. Reduce the fraction if necessary. Provide your answer below: FEEDBACK MORE INSTRUCTION
Transcript text: Question There are 26 cards in a hat, each of them containing a unique capital letter of the English alphabet. If one card is chos random, what is the probability that it is not among the letters H through J, inclusive? - Write your answer in fraction form. Reduce the fraction if necessary. Provide your answer below: FEEDBACK MORE INSTRUCTION
failed

Solution

failed
failed

Solution Steps

To find the probability that a randomly chosen card is not among the letters H through J, we first determine the total number of cards, which is 26. Next, we count the number of cards that are H, I, or J, which is 3. The number of favorable outcomes is the total number of cards minus the number of cards that are H, I, or J. Finally, we calculate the probability as the ratio of favorable outcomes to the total number of outcomes and reduce the fraction if necessary.

Step 1: Total Cards

The total number of cards in the hat is given as \( 26 \).

Step 2: Unfavorable Cards

The letters that are considered unfavorable (H, I, J) total to \( 3 \).

Step 3: Favorable Outcomes

The number of favorable outcomes, which are the cards that are not H, I, or J, is calculated as: \[ \text{Favorable Cards} = \text{Total Cards} - \text{Unfavorable Cards} = 26 - 3 = 23 \]

Step 4: Probability Calculation

The probability \( P \) that a randomly chosen card is not among the letters H through J is given by the ratio of favorable outcomes to total outcomes: \[ P = \frac{\text{Favorable Cards}}{\text{Total Cards}} = \frac{23}{26} \]

Final Answer

The probability that a randomly chosen card is not among the letters H through J is \\(\boxed{\frac{23}{26}}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Two days later, Ms. Smith is taken to surgery for repair of the fracture. She returns to the unit with a plaster cast. Which action should be considered when caring for a patient with a plaster cast? Select all that apply. Report any drainage or malodorous discharge from the cast or limb. Encourage the patient to insert a coat hanger into the cast to ease itching. Complete neurovascular checks every 2 hours for the first 24 hours. Use the palms of your hands to touch the cast while still wet or damp. Keep the limb flat on the bed to prevent joint contracture.
failedAnswered
Nipride 4 mcg / kg / min is ordered to run on a client weighing 180 lbs. The solution is prepared as 50 mg per 500 mL. Calculate the number of mL / hr to be given.
failedAnswered
India offers many opportunities for trade because (More than one answer may be correct) - it's working population will continue to grow in size - it is easy to do business there with few regulations - it has strong information and scientific sectors in its economy - it has a young and growing population
failedAnswered
¿Cuál es un problema con el que podría encontrarse al usar % para el formato? Cuando se necesitan muchos reemplazos, puede ralentizar un programa. El código puede ser más difícil de leer cuando se necesitan muchos reemplazos. No es posible reemplazar más de nueve variables.
failedAnswered
5. Indicate which of the following are among the layers of the dermis. (Check all that apply.) a. papillary layer b. reticular layer c. subcutaneous layer (hypodermis) 6. Identify the main protein that composes a hair. (Circle one.) a. collagen b. elastin c. fibrin d. keratin 7. The subcutaneous layer (hypodermis) is mainly composed of (adipose/dense irregular) connective tissue. 8. Where on the body can thick skin be found? a. abdomen b. forehead c. palms of hand d. top of feet 9. Sweat glands are composed of which type of tissue? (Circle one.) a. connective tissue b. epithelial tissue c. muscle tissue