<p>A fair dice is rolled once. The probability that an odd number less than 5 turns up is ______, and the probability that a number greater than or equal to 3 turns up is ______.</p>
Step-by-Step Solution
Key Concept: Identify favorable outcomes by carefully reading conditional statements (odd AND less than 5 vs greater than or equal to 3), then divide by total outcomes (6).
<p><strong>Step 1: Find probability of odd number less than 5</strong></p><p>When a fair dice is rolled, outcomes = {1, 2, 3, 4, 5, 6}</p><p>Odd numbers less than 5: {1, 3}</p><p>Number of favorable outcomes = 2</p><p>Probability = 2/6 = <strong>1/3</strong></p><p><strong>Step 2: Find probability that number ≥ 3</strong></p><p>Numbers greater than or equal to 3: {3, 4, 5, 6}</p><p>Number of favorable outcomes = 4</p><p>Probability = 4/6 = <strong>2/3</strong></p><p>∴ Answer: <strong>1/3 and 2/3</strong></p>
Correct Answer: 1