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Let A and B are two independent events. ...

Let A and B are two independent events. Such that `P(A)=1//3andP(B)=1//4.` Then match the following lists:

A

`{:(q,s,s,r):}`

B

`{:(q,r,s,r):}`

C

`{:(q,s,r,p):}`

D

`{:(r,s,p,q):}`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`P(AnnB)=P(A)P(B)=1/12`
a. `P(AuuB)=P(A)+P(B)-P(AnnB)=1/3+1/4-1/12=1/2`
b. `P((A)/(AuuB))=(P(A))/(P(AnnB))=2/3`
c. `(C)P((B)/(A'nnB'))=(P(Bnn(A'nnB')))/(P(A'nnB'))=(P(phi))/(P(A'nnB'))=0`
d. `P((A')/(B))=(P(A'nnB'))/(P(B))=P(A')=2/3`
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