Box a contains 1 black and 3 white marbles, and box b contains 2 black and 4 white marbles. a box is selected at random, then a marble is drawn at random from the selected box. given that the marble is black, find the probability that box a was chosen.

Probability that Box A was chosen given that black marble is chosen is 0.5.

Step-by-step explanation:

Since we have given that

Number of boxes = 2

In Box A,

Number of black marbles = 1

Number of white marbles = 3

In Box B,

Number of black marbles = 2

Number of white marbles = 4

Since black marble is selected.

So, using Bayes theorem , we get that

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.

45

step-by-step explanation:

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