MDTP Probability 1 — Questions and Answers
Question 1: A fair coin is tossed twice. What is the probability of getting two heads?
- 1/4 (Correct answer)
- 1/2
- 3/4
- 1
Correct answer: 1/4
P(HH) = P(H) × P(H) = 1/2 × 1/2 = 1/4 since the tosses are independent.
Question 2: A standard die is rolled once. What is the probability of rolling a number greater than 4?
- 1/6
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
Numbers greater than 4 are 5 and 6, so probability = 2/6 = 1/3.
Question 3: In a class of 30 students, 12 play sports. If one student is chosen at random, what is the probability they do NOT play sports?
- 2/5
- 3/5 (Correct answer)
- 1/2
- 12/30
Correct answer: 3/5
Students not playing sports = 30 - 12 = 18; P = 18/30 = 3/5.
Question 4: What is the probability of drawing an ace from a standard 52-card deck?
- 1/13 (Correct answer)
- 1/26
- 4/13
- 1/4
Correct answer: 1/13
There are 4 aces in 52 cards, so P = 4/52 = 1/13.
Question 5: Two events A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.4. What is P(A or B)?
- 0.1
- 0.12
- 0.7 (Correct answer)
- 0.8
Correct answer: 0.7
For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.3 + 0.4 = 0.7.
Question 6: How many ways can 3 books be arranged on a shelf from a collection of 5 books?
- 10
- 15
- 60 (Correct answer)
- 125
Correct answer: 60
This is a permutation: P(5,3) = 5 × 4 × 3 = 60.
MDTP Probability 1
A fair coin is tossed twice.
What is the probability of getting two heads?