Question: We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue

We roll two six-sided dice, one blue, the other red. Define the

We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue die rolls a number not larger than 3. C: The sum of the numbers rolled by the two dice equals 6. (a) Compute P(A), P(B), P(C). (b) Compute the sets An B, BNC, ANC. (c) Compute the conditional probabilities P(AB), P(BA), P(AC), P(CA), P(BIC), P(CIB). (d) Are the events A and B independent? Are A and C independent? Are B and C independent? We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue die rolls a number not larger than 3. C: The sum of the numbers rolled by the two dice equals 6. (a) Compute P(A), P(B), P(C). (b) Compute the sets An B, BNC, ANC. (c) Compute the conditional probabilities P(AB), P(BA), P(AC), P(CA), P(BIC), P(CIB). (d) Are the events A and B independent? Are A and C independent? Are B and C independent? We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue die rolls a number not larger than 3. C: The sum of the numbers rolled by the two dice equals 6. (a) Compute P(A), P(B), P(C). (b) Compute the sets An B, BNC, ANC. (c) Compute the conditional probabilities P(AB), P(BA), P(AC), P(CA), P(BIC), P(CIB). (d) Are the events A and B independent? Are A and C independent? Are B and C independent? We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue die rolls a number not larger than 3. C: The sum of the numbers rolled by the two dice equals 6. (a) Compute P(A), P(B), P(C). (b) Compute the sets An B, BNC, ANC. (c) Compute the conditional probabilities P(AB), P(BA), P(AC), P(CA), P(BIC), P(CIB). (d) Are the events A and B independent? Are A and C independent? Are B and C independent? We roll two six-sided dice, one blue, the other red. Define the following events: A: The red die rolls a 6. B: The blue die rolls a number not larger than 3. C: The sum of the numbers rolled by the two dice equals 6. (a) Compute P(A), P(B), P(C). (b) Compute the sets An B, BNC, ANC. (c) Compute the conditional probabilities P(AB), P(BA), P(AC), P(CA), P(BIC), P(CIB). (d) Are the events A and B independent? Are A and C independent? Are B and C independent?

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