Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Baye’s theorem |
Grade: 9-a Lesson: S3-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A man is known to speak the truth 3/4 times. He draws a card and reports it is king, then find the probability that it is actually a king by using bayes theorem |
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2 |
Step |
probability of king is drawn |
P(A) = \$\frac(1)(4)\$ |
3 |
Step |
probability of king not drawn |
P(B) = \$\frac(3)(4)\$ |
4 |
Step |
Probability that the man says the truth |
P(E/A) = \$frac(3)(4)\$ |
5 |
Step |
Probability that the man says the lie |
P(E/A) = \$\frac(1)(4)\$ |
6 |
Formula: |
Bayes theorem \$(P(E_1/A) = P(E_1) * P(A/E_1)) / (P(E_1) * P(A/E_1) + P(E_2) * P(A/E_2))\$ |
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7 |
Step |
Simplification |
\$\frac(1)(4) \times \frac(3)(4) / \frac(1)(4) \times \frac(3)(4) + \frac(1)(4) \times \frac(3)(4)\$ |
8 |
Step |
After simplification we get |
\$\frac(1)(2)\$ |
9 |
Answer |
D |
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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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