Theoretical, complementary events, multi-step MCQs
Practice Theoretical, complementary events, multi-step multiple-choice questions from Probability (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Theoretical, complementary events, multi-stepQuiz - Solve & Score
Q1. Two dice are thrown simultaneously. What is the probability that the product of the two numbers is a prime?
- A.1/6
- B.1/12
- C.1/9
- D.1/4
Answer: A. 1/6
NCERT fact (math, chapter 'Probability'): Product is prime ⇒ one die shows 1, other shows 2, 3 or 5. Ordered pairs: (1,2),(1,3),(1,5),(2,1),(3,1),(5,1) = 6. P = 6/36 = 1/6. Final answer - A) 1/6.
Q2. An integer is chosen between 100 and 999 (both inclusive). What is the probability that it is divisible by both 4 and 5?
- A.1/20
- B.9/200
- C.3/100
- D.1/50
Answer: A. 1/20
Given 100, 999, 4, 5, asked for What is the probability that it is divisible by both 4 and 5?. By Divisible by LCM(4,5) = 20 between 100 and 980: count = (980 − 100)/20 + 1 = 45. Divisible by LCM(4,5) = 20 between 100 and 980: count = (980 − 100)/20 + 1 = 45 → Total integers = 900 → P = 45/900 = 1/20. Thus option A) 1/20.
Q3. If P(E) = 0.05, what is the probability of 'not E'?
- A.0.95
- B.0.05
- C.0.5
- D.0.045
Answer: A. 0.95
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