Probability

Conditional Probability




Questions

1. Successive independent draws are made from an urn that initially contains one red ball and one
white ball. At a draw, each ball in the urn is equally likely to be drawn. After each draw, the ball drawn is replaced, along with one extra ball of the same colour. For i = 1, 2, 3, . . . let Ri
denote the event that the ith draw is a red ball.


(a) (i) Calculate P(R1), P(R2|R1) and P(R3|R1 ∩ R2).

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