# A bag conta

Given:

Bag A contains 4 white balls and 2 black balls

Bag B contains 3 white balls and 5 black balls

It is told that one ball is drawn is drawn from is each bag.

Let us find the Probability of drawing each colour ball from the bag.

P(B1) = P(drawing black ball from bag A)   P(W1) = P(drawing white ball from bag A)   P(B2) = P(drawing black ball from bag B)   P(W2) = P(drawing white ball from bag B)   We need to find:

i. P(DWW) = P(Both are white)

ii. P(DBB) = P(Both are black)

iii. P(DWB) = P(One drawn is white and other is black)

P(DWW) = P(Both are White)

Since drawing a ball is independent for each bag, the probabilities multiply each other.   P(DBB) = P(Both balls are black)

Since drawing a ball is independent for each bag, the probabilities multiply each other.   P(DWB) = P(One ball drawn is white and other is black)

Since drawing a ball is independent for each bag, the probabilities multiply each other.    .

The required probabilities are .

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