All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
291
A bag contains 12 balls, of which 3 are red. What is the probability of drawing a red ball?
Answer:
0.25
Step-by-step solution: 1. Probability = favourable outcomes / total outcomes. 2. Probability = 3 / 12 = 0.25. 3. Simplify the fraction to decimal form.
292
A bag contains 12 balls, of which 5 are red. What is the probability of drawing a red ball?
Answer:
0.417
Step-by-step solution: 1. Probability = favourable outcomes / total outcomes. 2. Probability = 5 / 12 = 0.417. 3. Simplify the fraction to decimal form.
293
A bag contains 11 balls, of which 4 are red. What is the probability of drawing a red ball?
Answer:
0.364
Step-by-step solution: 1. Probability = favourable outcomes / total outcomes. 2. Probability = 4 / 11 = 0.364. 3. Simplify the fraction to decimal form.
294
A bag contains 15 balls, of which 5 are red. What is the probability of drawing a red ball?
Answer:
0.333
Step-by-step solution: 1. Probability = favourable outcomes / total outcomes. 2. Probability = 5 / 15 = 0.333. 3. Simplify the fraction to decimal form.
295
A bag contains 13 balls, of which 3 are red. What is the probability of drawing a red ball?
Answer:
0.231
Step-by-step solution: 1. Probability = favourable outcomes / total outcomes. 2. Probability = 3 / 13 = 0.231. 3. Simplify the fraction to decimal form.
296
How many permutations can be made by taking 3 items from 7 distinct items?
Answer:
210
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 3) = 7! / (7 - 3)! = 210. 3. Compute factorial values to evaluate the expression.
297
How many permutations can be made by taking 4 items from 7 distinct items?
Answer:
840
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 4) = 7! / (7 - 4)! = 840. 3. Compute factorial values to evaluate the expression.
298
How many permutations can be made by taking 5 items from 7 distinct items?
Answer:
2520
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 5) = 7! / (7 - 5)! = 2520. 3. Compute factorial values to evaluate the expression.
299
How many permutations can be made by taking 4 items from 10 distinct items?
Answer:
5040
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(10, 4) = 10! / (10 - 4)! = 5040. 3. Compute factorial values to evaluate the expression.
300
How many permutations can be made by taking 5 items from 6 distinct items?
Answer:
720
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(6, 5) = 6! / (6 - 5)! = 720. 3. Compute factorial values to evaluate the expression.