Mathematics Grade 7 15 min

Probability of dependent and independent events

Probability of dependent and independent events

What you'll learn

  • Apply inverse trigonometric functions (arcsin, arccos, arctan) to solve for unknown angle measures in right triangles, achieving at least 80% accuracy on a problem set.
  • Solve trigonometric equations involving sine, cosine, and tangent to determine angle measures within a specified interval (e.g., 0 to 2π), demonstrating understanding by correctly solving at least 3 out of 4 multi-step equations.
  • Analyze real-world problems involving angles of elevation and depression, using trigonometric ratios to calculate unknown angle measures, as demonstrated by correctly setting up and solving application problems on a quiz with at least 75% accuracy.
  • Explain the relationship between the unit circle and the inverse trigonometric functions, justifying the restricted domains and ranges necessary for these functions to be well-defined, as evidenced by a written explanation with at least 4 out of 5 key concepts correctly identified.

Tutorial Preview

1

You spin a 4-color spinner and flip a coin. What is the probability of landing on blue and getting heads?

2

A bag has 3 red and 2 blue marbles. You pick one, keep it, then pick another. What is the probability of picking two red marbles?

3

Same bag (3 red, 2 blue). You pick one, keep it, then pick another. What is the probability of picking a red then a blue marble?

Sample Practice Questions

Easy
You flip a coin and roll a 6-sided die. What is the probability of getting tails and rolling a 4?
0.1/6
1.1/8
2.1/12
3.1/2
Easy
A bag has 2 red and 1 blue marble. You pick two without replacement. What is the probability of picking two red marbles?
0.1/3
1.2/3
2.1/2
3.1/6
Easy
You spin a 3-section spinner (A, B, C) and flip a coin. What is the probability of spinning 'A' and getting heads?
0.1/3
1.1/5
2.1/6
3.2/3

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Frequently asked questions

What grade level is "Probability of dependent and independent events"?

Probability of dependent and independent events is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Probability of dependent and independent events?

You'll be able to: Apply inverse trigonometric functions (arcsin, arccos, arctan) to solve for unknown angle measures in right triangles, achieving at least 80% accuracy on a problem set; Solve trigonometric equations involving sine, cosine, and….

Is "Probability of dependent and independent events" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Probability of dependent and independent events?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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