Question

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) Select the correct answer from above options

Answer 1

Let E: First bag is selected (a) P(E) = 1 2 1 F: Second bag is selected G: Ball is red (b) P(F) = 1 2 1 G: Ball is Red (c) P (G/E) = P (red ball from I bag) = 3 4 3 (d) P(G/F)= P(red ball from Il bag) = 4 6 4 = 2 3 2