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AP® Statistics

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Tossing a Weighted Dice

APSTAT-1TSN6P

A $6$-sided dice is weighted so that not every number is equally likely to appear when the dice is tossed. The table below shows the probability distribution.

Result (X) 1 2 3 4 5 6

p(X)

0.12 0.14 0.08 0.27 0.25 0.14



Suppose the dice is tossed and we are told that the result is a number greater than $4$. Based on this information, what is the probability that the result was a $6$?

A

$0.14$

B

$0.21$

C

$0.36$

D

$0.39$

E

$0.66$