Lesson Example Discussion Quiz: Class Homework |
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 |
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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.? |
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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)\$ |
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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 |
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1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
How can we improve the Steps? |
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