Probality jee notes

Lecture-5:Addition Theorem
Monday, December 7, 2020 6:30 PM




EXERCISE 33.4
(a) If A and B be mutually exclusive events associated With a random experiment such that P(A) = 0.4 and P(B) = 0.5, then find:

(i) P (𝐴̅ ∩ B)
(ii) P (A ∩ 𝐵 )
(iii) P (𝐴 ∪ 𝐵)
(iv) P(𝐴̅ ∩ 𝐵) ,




(b) A and B are two events such that P (A) =0.54, P (B)=0.69, P (A∩ B) =0.35,then find:

(i) P(𝐴 ∪ 𝐵)
(ii)𝑃(𝐴̅ ∩ 𝐵)
(iii) P (A ∩ 𝐵 )
(iv) P (𝐴̅ ∩ B)




PROBABILITY Page 1

, 2. If A and B are two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.4 and P (𝐴 ∪ 𝐵)=0.5, find P (A ∩ B).




3. If A and B are two events associated with a random experiment such that P(A) = 0.5 ,P(B)=0.3 and P (A ∩ B) = 0.2, find P (𝐴 ∪ 𝐵).


4. If A and B are two events associated with a random experiment such that P (𝐴 ∪ 𝐵) = 0.8, P (A ∩ B) = 0.3 and P (𝐴̅) =0.5, find P(B) .

5. Given two mutually exclusive events A and B such that P(A) = 1/2 and P(B) = 1/3, find P (A or B).




6. There are three events A, B, C, one of which must and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B, find the
odds against C.




7. One of the two events must happen. Given that the chance of one is two-third of the other, find the odds in favour of the other.




PROBABILITY Page 2