If P(A)= 2/5 P(B)=1/5 find P(AUB) if A & B are independent events.

give the answer as soon as possible
​

1 thought on “If P(A)= 2/5 P(B)=1/5 find P(AUB) if A & B are independent events.<br /><br />give the answer as soon as possible<br />​”

1. Answer:

   Answer

   P(A)=1/2,P(B)=p

   P(AUB)=3/5

   i) Mutually exclusive P(A∩B)=0

   P(AUB)=P(A)+P(B)-P(A∩B)

   3/5=1/2+p-0

   p=1/10

   ii)Independent events P(A∩B)=P(A)*P(B)=p/2

   P(AUB)=P(A)+P(B)-P(A∩B)

   3/5=1/2+p-p/2

   p=1/5

   Step-by-step explanation:

   Answer

   P(A)=1/2,P(B)=p

   P(AUB)=3/5

   i) Mutually exclusive P(A∩B)=0

   P(AUB)=P(A)+P(B)-P(A∩B)

   3/5=1/2+p-0

   p=1/10

   ii)Independent events P(A∩B)=P(A)*P(B)=p/2

   P(AUB)=P(A)+P(B)-P(A∩B)

   3/5=1/2+p-p/2

   p=1/5

   Reply