what is the probability of getting a 5 on a six sided dice

HESI A2

HESI A2 Math Practice

1. What is the probability of rolling a 5 on a six-sided die?

A. 1/6
B. 1/4
C. 1/2
D. 1/3

Correct answer: A

Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes (1 in this case, as there is one '5' on the die) by the total number of possible outcomes (6 for a six-sided die), resulting in a probability of 1/6. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the probability of rolling a 5 on a six-sided die. Option B (1/4) is incorrect because it represents the probability of rolling a specific number on a four-sided die. Option C (1/2) and Option D (1/3) are incorrect as they do not match the probability calculation for rolling a 5 on a six-sided die.

2. What distinguishes one allotrope from another?

A. Arrangement of atoms
B. Gram atomic mass
C. Physical state
D. Stability

Correct answer: A

Rationale: Allotropes are different forms of the same element that exist in the same physical state but have different structures. The arrangement of atoms is what distinguishes one allotrope from another, determining their unique properties and characteristics. Gram atomic mass (Choice B) is a constant value for a specific element and does not change between different allotropes. Physical state (Choice C) refers to whether a substance is a solid, liquid, or gas, which can be the same for different allotropes of an element. Stability (Choice D) can vary between different allotropes, but it is not what always differentiates one allotrope from another. Therefore, the correct answer is the arrangement of atoms, as it is the key factor that varies across different allotropes.

3. Which word is NOT CORRECTLY USED in the sentence? Confidentiality should be observed at all times, so the nurse should not discuss clients when the conversation can be overheard.

A. Be observed
B. By
C. Can be
D. Should not

Correct answer: A

Rationale: The correct answer is A. In the sentence, 'be observed' should be changed to 'should be observed' for proper grammar. 'Should be observed' is the correct way to indicate the necessity of maintaining confidentiality. Choice B, 'by,' is used correctly as a preposition. Choice C, 'can be,' is also used correctly in the sentence. Choice D, 'should not,' is correctly used to indicate what the nurse ought not to do.

4. What is the composition of the plasma membrane?

A. Proteins
B. Lipids
C. Carbohydrates
D. Nucleotides

Correct answer: B

Rationale: The plasma membrane is composed of lipids, proteins, and carbohydrates. While proteins are an essential component of the plasma membrane, it is not the only constituent. Carbohydrates and lipids also play crucial roles in the structure and function of the plasma membrane. Nucleotides are not part of the primary structural components of the plasma membrane, making this choice incorrect.

5. Which word is not used correctly in the context of the following sentence: 'There is no real distinction between the two treatment protocols recommended online.'

A. real
B. among
C. protocols
D. online

Correct answer: B

Rationale: The correct word that should replace 'among' in the sentence is 'between' when referring to a distinction between two things. 'Among' is used when referring to more than two items or when the items are part of a group. In this context, 'between' is more appropriate as there are only two treatment protocols being compared.