Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Addition theorem for mutually exclusive events |
Grade: 9-a Lesson: S3-L5 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A bag contains 30 balls numbered from 1 to 30. One ball is drawn atrandom, find the probability that the number of the ball will be multiple of 5 or 9 by using addition theorem. |
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2 |
Step |
Total number of events. |
30 |
3 |
Step |
Numbers of multiple by 5. |
P(A) = (5, 10, 15, 20, 25 and 30) = 6 |
4 |
Step |
Numbers of multiple by 9. |
P(B) = (9, 18, and 27) = 3 |
5 |
Step |
probability of multiple by 5. |
P(A) = \$\frac(6)(30)\$ |
6 |
Step |
probability of multiple by 9. |
P(B) = \$\frac(3)(30)\$ |
7 |
Formula: |
Addition theorem ⇒ P (A ∪ B) = P (A) + P (B) |
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8 |
Step |
Simplification |
\$\frac(6)(30) + \frac(3)(30)= \frac(9)(30)\$ |
9 |
Step |
After simplification we get |
\$\frac(3)(10)\$ |
10 |
Answer |
C |
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Tutor: Questions
| Seq | Type | Question | Audio |
|---|---|---|---|
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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