(b) When the sampling is done without replacement. (5%)

八、Bowl B₁ contains 2 white chips, bowl B₂ contains 2 red chips, bowl B₃ contains 2 white and 2 red chips, and bowl B₄ contains 3 white chips and 1 red chip. The probabilities of selecting bowl B₁, B₂, B₃, or B₄ are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities, and a chip is then drawn random. Find (a) \(\mathrm{P}(\mathrm{W})\) , the probability of drawing a white chip. \((10\%)\)

(b) When the sampling is done without replacement. (5%)

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