Step-5

Title: Multiplication theorem for Independent Events

Grade: 9-a Lesson: S3-L4

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

Lesson Steps

Step Type Explanation Answer

1

Problem

A bag contains 4 red balls, 3 white balls and 5 black balls. Two balls are drawn one after the other with replacement. Find the probability that first is red and the second is black by using multiplication theorem.?

2

Step

probability of red ball in the second draw.

P(A) = \$\frac(4)(12)\$

3

Step

probability of black ball in the second draw.

P(B) = \$\frac(5)(12)\$

4

Formula:

Multiplication Theorem ⇒ \$P(A∩B) = P(B) × P(A)\$

5

Step

Simplification.

\$\frac(5)(12)\times\frac(4)(12)\$ = \$\frac(20)(144)\$

6

Step

After simplification we get.

\$\frac(10)(72)\$

7

Answer

A

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

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