10 questions ยท Form 2 Mathematics Bab 13: Simple Probability
A card is selected at random from a standard deck of 52 playing cards. What is the probability of drawing a King?
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. A card is selected at random from a standard deck of 52 playing cards. What is the probability of drawing a King?
Answer: A
There are 4 Kings in a deck of 52. P(King) = 452 = 113.
2. Two coins are tossed at the same time. Find the probability of getting at least one head.
Answer: A
Sample space S = {HH, HT, TH, TT}, n(S) = 4. Outcomes with at least one H = {HH, HT, TH} (3 outcomes). P(At least 1 H) = 34.
3. 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.
4. What is the sample space S when rolling a fair six-sided die?
Answer: A
A fair six-sided die has faces numbered 1 through 6, so S = {1, 2, 3, 4, 5, 6} with n(S) = 6.
5. The probability that a target is hit is 0.85. If 200 shots are fired, how many shots are expected to hit the target?
Answer: A
Expected count = Probability * Total trials = 0.85 * 200 = 170.
6. 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.
7. A spinner has 8 equal sections numbered 1 to 8. What is the probability of spinning a number greater than 5?
Answer: A
Numbers greater than 5 are {6, 7, 8} (3 numbers). P(> 5) = 38.
8. A fair six-sided die is rolled. Find P(getting a number less than 7).
Answer: A
All faces {1, 2, 3, 4, 5, 6} are less than 7. P(< 7) = 66 = 1 (a certain event).
9. If an event is impossible to occur, what is its probability?
Answer: A
The probability of an impossible event is always 0.
10. 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.