Question

q1. a bag contains 4 blue marbles and 6 green marbles. what is the probability of picking a green marble? a) 2/5 b) 3/5 c) 1/2 d) 3/4 q2. a spinner has 8 equal sections numbered 1 - 8. what is the probability of landing on an odd number? q3. a factory produces 200 items. 10 are defective. what is the probability of choosing a defective item? q4. a students weekly quiz scores are 8, 7, 9, 10, 6. find the mean score. q5. the same quiz scores (8, 7, 9, 10, 6). find the median. q6. the same quiz scores again. which score is the mode? q7. the same quiz scores again. what is the range? q8. a die is rolled. what is the probability of rolling a number greater than 4? q9. a survey shows 12 people prefer pizza, 8 prefer burgers, and 5 prefer salads. which food is the mode choice? q10. in a bag of 20 parts, 3 are defective. if you randomly pick one part, what is the probability it is good?

Explanation:

Q1:

Step1: Calculate total marbles

Total marbles = 4 (blue) + 6 (green)=10

Step2: Calculate probability of green

Probability = $\frac{\text{Number of green marbles}}{\text{Total marbles}}=\frac{6}{10}=\frac{3}{5}$

Q2:

Step1: Identify odd - numbered sections

Odd - numbered sections: 1, 3, 5, 7 (4 sections)

Step2: Calculate probability

Probability = $\frac{\text{Number of odd - numbered sections}}{\text{Total sections}}=\frac{4}{8}=\frac{1}{2}$

Q3:

Step1: Identify number of defective items and total items

Defective items = 10, Total items = 200

Step2: Calculate probability

Probability = $\frac{\text{Number of defective items}}{\text{Total items}}=\frac{10}{200}=\frac{1}{20}$

Q4:

Step1: Calculate sum of scores

Sum = 8 + 7+9 + 10+6=40

Step2: Calculate mean

Mean = $\frac{\text{Sum of scores}}{\text{Number of scores}}=\frac{40}{5}=8$

Q5:

Step1: Arrange scores in ascending order

6, 7, 8, 9, 10

Step2: Find median

Median (for 5 numbers, middle number) = 8

Q6:

Step1: Check frequency of each score

All scores 6, 7, 8, 9, 10 have frequency 1. So, no mode.

Q7:

Step1: Find maximum and minimum scores

Maximum = 10, Minimum = 6

Step2: Calculate range

Range = Maximum - Minimum=10 - 6 = 4

Q8:

Step1: Identify numbers greater than 4 on a die

Numbers greater than 4 on a die are 5 and 6 (2 numbers)

Step2: Calculate probability

Probability = $\frac{\text{Numbers greater than 4}}{\text{Total numbers on a die}}=\frac{2}{6}=\frac{1}{3}$

Q9:

Step1: Compare frequencies

Pizza: 12, Burgers: 8, Salads: 5. Pizza has the highest frequency.

Q10:

Step1: Calculate number of good parts

Good parts = 20 - 3=17

Step2: Calculate probability

Probability = $\frac{\text{Number of good parts}}{\text{Total parts}}=\frac{17}{20}$

Answer:

Q1. B. 3/5
Q2. C. 1/2
Q3. $\frac{1}{20}$
Q4. 8
Q5. 8
Q6. No mode
Q7. 4
Q8. $\frac{1}{3}$
Q9. Pizza
Q10. $\frac{17}{20}$