Untitled

CHANCES AND OUTCOMES

  • Choose one snack and one drink; assess possible combinations.

  • Key questions:

    • Determine total possible outcomes.

    • Assess equality of outcomes.

    • Relate counting outcomes to probability.

FUNDAMENTAL PRINCIPLE OF COUNTING

  • If one event can happen in m ways and another in n ways, the total outcomes = m×nm \times n.

OBJECTIVES

  • Apply the Fundamental Counting Principle (FCP) for outcomes.

  • Define and compute probability of simple events.

EXAMPLES USING FCP

  • Tossing coins and rolling dice: Calculate outcomes via FCP.

  • Competitions and orders:

    • Contest rankings (e.g., 8 contestants) using FCP.

    • Iced tea orders (3 flavors, 3 sizes).

PLATE NUMBER COMBINATIONS

  • 3 letters + 3 digits.

  • Scenarios:

    • Repetition allowed vs. not allowed.

YOUR TURN!

  • Form 5-digit numbers.

    • With and without repetition.

    • Create odd numbers without repetition.

UNDERSTANDING ASSESSMENT

  • Self-rate comprehension and need for help.

SMART CHOICES AND DECISION MAKING

  • Break complex decisions into simpler parts for clarity.

WRITTEN MATH A

  • Apply FCP to problems involving:

    • Two-letter initials.

    • Meals combinations from various categories.

ADDITIONAL CHALLENGES

  • Solve problems with specified digits:

    • 4-digit even numbers, 5-digit constraints, etc.

FINAL REMARK

  • Strive for glorification in all endeavors.