what is the probability of getting a 5 on a six sided dice
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HESI A2

HESI A2 Math Practice

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

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. Subtract and simplify: -5 - (-6) =

Correct answer: C

Rationale: To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.

3. If 3 books cost $4, how much will 6 books cost?

Correct answer: A

Rationale: To find the cost of 1 book, divide the total cost by the number of books: $4 / 3 = $1.33 per book. To determine the cost of 6 books, multiply the cost per book by 6: $1.33 * 6 = $8. Therefore, purchasing 6 books will cost $8. Choice B, $12, is incorrect as it incorrectly doubles the cost of 3 books. Choice C, $6, is incorrect as it is half the cost of 3 books. Choice D, $10, is incorrect as it does not accurately calculate the cost of 6 books based on the given information.

4. A newspaper kiosk sells 10 varieties of newspapers from around the world. The average daily sales for some of the varieties are as follows: English language newspapers sell 25 each day, French language newspapers sell 1 each day, Korean language newspapers sell 16 each day, Japanese language newspapers sell 16 each day, and Russian language newspapers sell 22 each day. How many newspapers are sold each day?

Correct answer: A

Rationale: To calculate the total number of newspapers sold each day, add the sales for each language: 25 (English) + 1 (French) + 16 (Korean) + 16 (Japanese) + 22 (Russian) = 80. Multiply this by the number of language varieties (10) to get the total number of newspapers sold: 80 x 10 = 800. Therefore, the kiosk sells 800 newspapers each day, not 368 as erroneously stated. The correct answer is 800 papers.

5. What is the result of adding 4.934, 7.1, and 9.08?

Correct answer: A

Rationale: To find the sum of 4.934, 7.1, and 9.08, we add them together: 4.934 + 7.1 + 9.08 = 21.114. Therefore, the correct answer is A, 21.114. Choice B, 21.042, is incorrect as it does not represent the accurate sum of the numbers provided. Choice C, 20.214, is incorrect as it does not account for the correct addition of the given numbers. Choice D, 59.13, is incorrect as it is not the sum of the numbers 4.934, 7.1, and 9.08.

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