Home
Class 12
MATHS
If A,B,C are three events , Show that p...

If A,B,C are three events , Show that ` p( A cup B cup C)= P(A)+P(B) + P( C) -P (A cap B) - P (B cap C) -P ( C cap A)+ P(A cap B cap C ) `

Text Solution

Verified by Experts

The correct Answer is:
`-P(BcapC)-P(CcapA)+P(AcapBcapC).`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 9(a)|6 Videos
  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE-9(b)|24 Videos
  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TAXTUAL EXERCISES|73 Videos
  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES|68 Videos

Similar Questions

Explore conceptually related problems

If A,B,C are three events , Show that p( cup B cup C)= P(A)+P(B) + P( C) -P (A cap B) - P (B cap C) -P ( C cap A)+ P(A cap B cap C )

A cup (B cap C)= ………..

If A, B, C are three events associated with a random experiment, prove that P(A uu B uu C) = P(A) + P(B) + P(C) - P(A nn B) - P(A nn C) P(B nn C) + P (A nn B nn C)

If A,B are two events, then show that P((A)/(B))P(B)+P((A)/(B^(C)))P(B^(C))=P(A).

For any two events A,B shows that P(AcapB)-P(A)P(B)=P(A^(C))P(B)-P(A^(C)capB) =P(A)P(B^(C))-P(AcapB^(C))

If A,B,C are three events in a random experiment, Prove the following. P(A-B)=P(A)-P(AcapB)