Match List I with List II
| List I | List II | ||
|---|---|---|---|
| A. | Probability of getting a prime number in a single throw of a dice is | I. | \(\displaystyle\frac{1}{6}\) |
| B. | Probability of getting neither a prime nor a composite number in a single throw of a dice is | II. | \(\displaystyle\frac{1}{3}\) |
| C. | Probability of getting a multiple of 3 in a single throw of a dice is | III. | \(\displaystyle\frac{1}{2}\) |
| D. | Probability of getting a number greater than 2 in a single throw of a dice is | IV. | \(\displaystyle\frac{2}{3}\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A-III, B-I, C-II, D-IV
A throw of a dice has 6 equally likely outcomes, 1 to 6, so probability = favourable outcomes ÷ 6.
A. A prime number — this matches III. \(\frac{1}{2}\). The primes are 2, 3 and 5: \(\frac{3}{6}=\frac{1}{2}\).
B. Neither a prime nor a composite number — this matches I. \(\frac{1}{6}\). Only 1 is neither prime nor composite: \(\frac{1}{6}\).
C. A multiple of 3 — this matches II. \(\frac{1}{3}\). The multiples of 3 are 3 and 6: \(\frac{2}{6}=\frac{1}{3}\).
D. A number greater than 2 — this matches IV. \(\frac{2}{3}\). The numbers 3, 4, 5 and 6: \(\frac{4}{6}=\frac{2}{3}\).