Question

I n the group of students ,50 students passed in english , 60 students passed in mathematics and 40students passed in both who passed either in english orin mathematics.

Answer 1

Answer:

this is incomplete statement

Answer 2

Correct Question :

In the group of students ,50 students passed in english , 60 students passed in mathematics and 40students passed in both. Find the number of students who passed either in english orin mathematics.

Given :

• 50 students passed in English.
• 60 students passed in Mathematics.
• 40 students passed in both.

To Find :

• Number of students who passed either in english or in mathematics.

Solution :

So let's take,

• P(A) = 50
• P(B) = 60
• P(A∩B) = 40

By using formula,

⇒ P(AUB) = P(A) + P(B) - P(A∩B)

⇒ P(AUB) = 50 + 60 - 40

⇒ P(AUB) = 50 + 20

⇒ P(AUB) = 70

•°• Hence, 70 students who passed either in english or in mathematics.

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★ Formula used here :

Additional theorem on probability :

• P(AUB) = P(A) + P(B) - P(A∩B)