10 questions ยท Form 2 Mathematics Bab 13: Simple Probability
A letter is chosen at random from the word 'MALAYSIA'. What is the probability of selecting the letter 'A'?
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. A letter is chosen at random from the word 'MALAYSIA'. What is the probability of selecting the letter 'A'?
Answer: A
Word length n(S) = 8. 'A' appears 3 times. P('A') = 38.
2. A fair die is rolled. Find the probability of getting a prime number.
Answer: A
Prime numbers on a die are 2, 3, 5 (3 favorable outcomes). P(Prime) = 36 = 0.5.
3. A box contains 12 dark chocolates and some milk chocolates. If the probability of choosing a dark chocolate is 35, how many milk chocolates are in the box?
Answer: A
P(Dark) = 12 / Total = 35 => Total = 20. Milk chocolates = 20 - 12 = 8.
4. A basket contains 30 apples. The probability of picking a rotten apple is 16. How many rotten apples are in the basket?
Answer: A
Number of rotten apples = 30 * (16) = 5.
5. What is the probability of getting a sum of 13 when two fair six-sided dice are rolled simultaneously?
Answer: A
The maximum possible sum when rolling two dice is 6 + 6 = 12. Getting 13 is impossible, so probability is 0.
6. A bag contains cards numbered 1 to 15. What is the probability of selecting a square number?
Answer: A
Perfect square numbers between 1 and 15 are {1, 4, 9} (3 numbers). P(Square) = 315 = 15.
7. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?
Answer: A
Total balls n(S) = 5 + 3 + 2 = 10. Blue balls n(Blue) = 3. P(Blue) = 310 = 0.3.
8. What is the value of P(A') if P(A) = 0.35?
Answer: A
Complement rule: P(A') = 1 - P(A) = 1 - 0.35 = 0.65.
9. If an event is impossible to occur, what is its probability?
Answer: A
The probability of an impossible event is always 0.
10. Which of the following values cannot represent the probability of an event?
Answer: A
Probability values must be between 0 and 1 inclusive (0 <= P <= 1). 1.25 exceeds 1.