Probability basics - SAT Math

Описание: *CORE CONCEPT:*
Probability is the measure of the likelihood that an event will occur, expressed as a ratio of favorable outcomes to total outcomes.

*TOPICS COVERED:*
When to use the probability formula to calculate outcomes (B1)
How to identify specific events for probability calculations (B1)
When to count favorable outcomes for events (B1)
How to interpret probability results in real-world contexts (B1)

*EXAMPLE SENTENCES:*
Example 1: What is the probability of rolling a 3 on a standard six-sided die?
Example 2: A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?
Example 3: If you flip a coin, what is the probability of getting heads?

*GRAMMAR RULES:*
Identify the event → Determine the specific event for which you want to calculate the probability.
Count the favorable outcomes → Identify how many outcomes are favorable to the event you are considering.
Calculate the probability → Use the formula P(Event) = Number of Favorable Outcomes / Total Number of Outcomes.

*COMMON ERRORS:*
Wrong: P(rolling a 3) = 2/6 → Right: P(rolling a 3) = 1/6 (correct calculation).
Wrong: P(drawing a red ball) = 4/5 → Right: P(drawing a red ball) = 3/5 (correct calculation).

*STUDENT QUESTIONS:*
How do I calculate the probability of an event?
When should I count favorable outcomes?
Is my probability calculation correct?
What's the difference between favorable outcomes and total outcomes?
How do I interpret probability results in real life?

*KEY CONCEPTS:*
Probability, outcomes, events, favorable outcomes, B1 level, basic probability concepts.

Key concepts (auto-augmented): how to solve linear equations, isolating variables step by step, inverse operations in algebra, ax + b = c formula