Question

(1) (6 pts) Without replacement in an urn with 100 balls, 50 of which is Red and the others Blue, randomly draw balls until the urn is empty; for instance, the notation for first three balls drawn being Blue, Blue and Red, is (BBRx..x) (a) (2 pts) What is the universal set of all outcomes in this notation? (b) (2 pts) Calculate the probability of outcome (BBBBB...RRRRR...), where all 50 Blue balls are drawn first (b) (2 pts) Calculate the probability of the event of all outcomes (R......R), where first and last balls drawn are Red.

          (1) (6 pts) Without replacement in an urn with 100 balls, 50 of which is Red
and the others Blue, randomly draw balls until the urn is empty; for instance,
the notation for first three balls drawn being Blue, Blue and Red, is (BBRx..x)
(a) (2 pts) What is the universal set of all outcomes in this notation?
(b) (2 pts) Calculate the probability of outcome (BBBBB...RRRRR...), where
all 50 Blue balls are drawn first
(b) (2 pts) Calculate the probability of the event of all outcomes (R......R),
where first and last balls drawn are Red.

(1) (6 pts) Without replacement in an urn with 100 balls, 50 of which is Red
and the others Blue, randomly draw balls until the urn is empty; for instance,
the notation for first three balls drawn being Blue, Blue and Red, is (BBRx..x)
(a) (2 pts) What is the universal set of all outcomes in this notation?
(b) (2 pts) Calculate the probability of outcome (BBBBB...RRRRR...), where
all 50 Blue balls are drawn first
(b) (2 pts) Calculate the probability of the event of all outcomes (R......R),
where first and last balls drawn are Red.

Added by Eduardo C.

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