Answer:
a) Probability that a customer gets at least a 40% discount is computed here as:
= Probability that he gets a region within 40% or 100%
= 3/12
= 0.25
Therefore 0.25 is the required probability here.
b) Probability that three consecutive customers gets 20% discount is computed here as:
= (Probability of 20% discount )3
= (3/12)3 = 0.015625
Therefore 0.015625 is the required probability here.
c) Probability that none of the first four customers gets a discount over 20% is computed here as:
= (Probability of > 20% discount )4
= (3/12)4
= 0.00390625
Therefore 0.00390625 is the required probability here.
d) Probability that the first gold customer is the fifth person in the line
= (Probability that first 4 ones are not gold ) * Probability that the fifth one is gold
= (11/12)4 * (1/12)
= 0.0588
Therefore 0.0588 is the required probability here.
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