Q1 · medium · AI-verified
A card is drawn from a well-shuffled deck of 52 cards. What is the probability that the card drawn is either a king or a heart?
- 4/13
- 17/52
- 15/52
- 1/4
Q2 · medium · AI-verified
The probability that A can solve a problem is 2/3 and B can solve the same problem is 3/4. If both attempt the problem independently, what is the probability that the problem is solved?
- 11/12
- 5/6
- 7/12
- 1/2
Q3 · medium · AI-verified
In a class of 30 students, 18 study Mathematics, 15 study Physics, and 10 study both subjects. If a student is selected at random, what is the probability that the student studies neither Mathematics nor Physics?
- 7/30
- 1/5
- 4/15
- 2/15
Q4 · medium · AI-verified
In a class of 30 students, 18 play cricket, 12 play football, and 8 play both games. If a student is selected at random, what is the probability that the student plays neither cricket nor football?
- 1/5
- 4/15
- 2/15
- 1/6
Q5 · medium · AI-verified
A bag contains 6 red balls, 4 blue balls, and 5 green balls. If 3 balls are drawn at random without replacement, what is the probability that all three balls are of different colors?
- 8/91
- 12/91
- 24/91
- 36/91