First blue ball is drawn on the sixth draw

Reference no: EM13966570

1.

(a) A six-sided die is manipulated in such a way that the face with the number i has probability proportional to i . Find the probability that the die will produce an even number if it is rolled once.

(b) An n-sided die is manipulated in such a way that the face with the number i has probability proportional to i . Find the probability that the die will produce an even number if it is rolled once.

2. There are ten black, ten white, and ten blue balls in an urn. Ten of these are chosen at random without replacement. Find the probability that there is at least one ball of each color among the ten drawn.

3. There are ten black, ten white, and ten blue balls in an urn. Ten of these are chosen at random without replacement. Find the probability that the first blue ball is drawn on the sixth draw.

Reference no: EM13966570

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