Step-4

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 card is drawn at random from a pack of cards then find the probability that the drawn card is either a club or an ace of diamond by using addition theorem.

2

Step

Total number of cards.

52

3

Step

probability of drawing a club.

P(A) = \$\frac(13)(52)\$

4

Step

probability of drawing an ace.

P(B) = \$\frac(1)(52)\$

5

Formula:

Addition theorem ⇒ P (A ∪ B) = P (A) + P (B)

6

Step

Simplification.

\$\frac(13)(52) + \frac(1)(52) = \frac(14)(52)\$

7

Step

After simplification we get.

\$\frac(7)(26)\$

8

Answer

B

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

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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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