1.

A bag contains 3 red and 4 black balls and another bag has 4 red and 2 black halls. One bag is selected at random and from the selected bag a ball Is drawn. Let E be the event that the first bag is selected, F b the event that the second bag is selected. G be the event that ball drawn Is red. Find (a) P(E) (b) P(F) (c) P(G/E) (d) P(G/F)

Answer»

Let E: First bag is selected

(a) P(E) = \(\frac{1}{2}\)

F: Second bag is selected G: Ball is red 

(b) P(F) = \(\frac{1}{2}\)

G: Ball is Red 

(c) P (G/E) = P (red ball from I bag) = \(\frac{3}{4}\)

(d) P(G/F)= P(red ball from Il bag) = \(\frac{4}{6}\) = \(\frac{2}{3}\)



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