3) A professional gambler claims that he has loaded the die sothat the outcomes

Question

3) A professional gambler claims that he has loaded the die sothat the outcomes of 1,2,3,4,5,6 have coresponding probabilities0.1, 0.2, 0.3, 0.4, 0.5, 0.6.
a) Can he actually do what he has claimed? b) Is a probabilty disytribution described by listing theoutcomes along with their corresponding probabilities? 3) A professional gambler claims that he has loaded the die sothat the outcomes of 1,2,3,4,5,6 have coresponding probabilities0.1, 0.2, 0.3, 0.4, 0.5, 0.6.
a) Can he actually do what he has claimed? b) Is a probabilty disytribution described by listing theoutcomes along with their corresponding probabilities?

Explanation / Answer

a) The gambler cannot do what he claimed because the sum of the probabilities of all possible mutually exclusive outcomes should be1.      But, here the sum is : 0.1 +0.2 + 0.3 + 0.4 + 0.5 + 0.6 = 2.1 b) Yes, the probability distribution is described bylisting all the possible outcomes along with theircorresponding        probabilities.      in fact, we need not list all possibleoutcomes, just listing the       all possible mutuallyexclusive outcomes will be sufficient.

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