help me.. 3. (S, P) is the probability space of tossing two dice (one red andone

Question

help me..

3. (S, P) is the probability space of tossing two dice (one red andone blue) under equally likely
probability.
(a) Let A = {red die is 3; 4, or 5}, B = {blue die is 1 or 2}, andC = {sum is 7}. Are
these events pairwise independent?, Are they mutuallyindependent? help me..

3. (S, P) is the probability space of tossing two dice (one red andone blue) under equally likely
probability.
(a) Let A = {red die is 3; 4, or 5}, B = {blue die is 1 or 2}, andC = {sum is 7}. Are
these events pairwise independent?, Are they mutuallyindependent?

Explanation / Answer

a) A, B and C are NOT mutually independant, since C depends on both Aand B to be 5 resp 2. A and B are pairwiseindependent. A and C, and B and C are NOT pairwise independant

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