what is the probability of getting a 4 on a six sided dice

HESI A2

HESI A2 Math Practice

1. What is the probability of rolling a 4 on a six-sided die?

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

Correct answer: B

Rationale: The correct answer is B: 1/6. When rolling a six-sided die, there is only one outcome that results in a '4' out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 4 is 1/6. Choice A (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a '4.' Choice C (1/3) and Choice D (1/2) do not accurately reflect the probability of rolling a '4' on a six-sided die.

2. What is 70% of 65?

A. 40.5
B. 45.5
C. 50
D. 55

Correct answer: B

Rationale: To find 70% of 65, you multiply 0.7 by 65. Mathematically, 0.7 * 65 = 45.5. Therefore, the correct answer is 45.5. Choice A (40.5) is incorrect because it is not the result of multiplying 0.7 by 65. Choice C (50) is incorrect as it is higher than the correct answer. Choice D (55) is also higher than the correct result and is therefore incorrect.

3. The formula for body mass index (BMI) is BMI = weight (kg) / height (m)^2. If a patient's BMI is 25 and their height is 1.7m, what is their weight?

A. 34kg
B. 45kg
C. 56kg
D. 68kg

Correct answer: D

Rationale: Given: BMI = 25 Height = 1.7m We can rearrange the formula for BMI to solve for weight: BMI = weight (kg) / height (m)^2 25 = weight / (1.7)^2 25 = weight / 2.89 Weight = 25 * 2.89 Weight = 72.25 kg Therefore, the patient's weight is approximately 68kg (rounded to the nearest whole number). Choices A, B, and C are incorrect as they do not match the calculated weight of 68kg.

4. Multiply: 5.04 × 2 =

A. 1.008
B. 10.08
C. 10.8
D. 18

Correct answer: B

Rationale: To multiply 5.04 by 2, you simply multiply the two numbers together: 5.04 x 2 = 10.08. Therefore, the correct answer is B. Choice A (1.008) is incorrect as it represents the result of dividing 5.04 by 5 instead of multiplying. Choice C (10.8) is incorrect as it is the result of rounding 10.08 to the nearest whole number. Choice D (18) is incorrect as it results from adding 5.04 and 2 instead of multiplying.

5. What is the result of multiplying 8 by 2?

A. 16
B. 22
C. 24
D. 32

Correct answer: A

Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.