Step-5

Title: Multiplication theorem for dependent Events

Grade: 9-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

What is the probability that the bug will be on the bottom vertex after 30 seconds.

2

Step

Probability that the bug gets closer to the bottom after these 10 seconds.

P(A) = \$\frac(2)(3)\$

3

Step

Probability that the bug makes it to the bottom after the final 10 seconds.

P(B / A) = \$\frac(1)(3)\$

4

Formula:

Multiplication dependent theorem. \$P(A ∩ B) = P(B / A) \times P(A)\$

5

Step

Simplification.

\$\frac(1)(3) \times \frac(2)(3)\$

6

Step

After simplification we get.

\$\frac(2)(9)\$

7

Answer

C

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

What did you learn from the clues?

3

Hint

What did you learn from the Hints?

4

Step

What did you learn from the Steps?

5

Step

How can we improve the Steps?


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