Multiple Choice Questions
Probability and Statistics: Data Interpretation
Topic: Probability and Statistics: Data Interpretation
Grade: 10
Question 1:
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability of selecting a blue ball?
A) 1/5
B) 3/10
C) 1/10
D) 1/4
Answer: B) 3/10
Explanation: The probability of selecting a blue ball can be found by dividing the number of blue balls by the total number of balls. In this case, there are 3 blue balls out of a total of 10 balls, so the probability is 3/10.
Example 1: Suppose there are 10 cards with numbers from 1 to 10 written on them. If one card is drawn at random, what is the probability of selecting an even number? There are 5 even numbers (2, 4, 6, 8, 10) out of a total of 10 numbers, so the probability is 5/10 or 1/2.
Example 2: A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability of selecting a red or blue marble? There are 4 red marbles and 6 blue marbles, so the total number of favorable outcomes is 4 + 6 = 10. The total number of possible outcomes is 4 + 6 + 2 = 12. Therefore, the probability is 10/12 or 5/6.
Question 2:
In a class of 30 students, 15 are boys and 15 are girls. If one student is randomly selected, what is the probability of selecting a girl?
A) 1/2
B) 1/3
C) 1/4
D) 1/5
Answer: A) 1/2
Explanation: Since there are 15 girls out of a total of 30 students, the probability of selecting a girl is 15/30, which simplifies to 1/2.
Example 1: Suppose there are 50 cards with the letters A to Z written on them. If one card is drawn at random, what is the probability of selecting a vowel? There are 5 vowels (A, E, I, O, U) out of a total of 26 letters, so the probability is 5/26.
Example 2: A bag contains 8 red marbles and 12 green marbles. If one marble is drawn at random, what is the probability of selecting a red marble? There are 8 red marbles out of a total of 20 marbles, so the probability is 8/20 or 2/5.
Question 3:
A fair six-sided die is rolled. What is the probability of rolling a number greater than 4?
A) 1/2
B) 1/3
C) 1/6
D) 2/3
Answer: B) 1/3
Explanation: A fair six-sided die has 6 equally likely outcomes, which are the numbers 1 to 6. Out of these 6 numbers, there are 2 numbers (5 and 6) that are greater than 4. Therefore, the probability of rolling a number greater than 4 is 2/6, which simplifies to 1/3.
Example 1: Suppose a coin is flipped. What is the probability of getting heads? Since there are 2 equally likely outcomes (heads or tails), and only 1 outcome is heads, the probability is 1/2.
Example 2: A spinner is divided into 8 equal sections, numbered 1 to 8. If the spinner is spun once, what is the probability of landing on an odd number? There are 4 odd numbers (1, 3, 5, 7) out of a total of 8 numbers, so the probability is 4/8 or 1/2.
Note: I have provided 3 sample questions and their explanations. Please let me know if you would like me to continue with the remaining questions.