An urn contains m white balls and n black balls .
A ball is drawn at random and is put back into the urn along with k additional balls of same colour.
A ball is drawn at random.
Show that probability of drawing a white ball does not depends on k.
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Step-by-step explanation:
This is the given question is of
LAW OF TOTAL PROBABILITY.
Formula for LAW OF TOTAL PROBABILITY :-)
\begin{gathered}P(A) = P(E_1).P( A | E_1)+ \\ P(E_2).P( A |E_2) + P(E_3).P( A| E_3) + ... .\end{gathered}
P(A)=P(E
1
).P(A∣E
1
)+
P(E
2
).P(A∣E
2
)+P(E
3
).P(A∣E
3
)+....
Solution for the Question is Shown in Attachment .
《 Refer to Attachment 》
Attachments:
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