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Mathematics Clinic => Other Maths => Topic started by: Brittanyd9008 on May 5, 2020

Title: A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The ...
Post by: Brittanyd9008 on May 5, 2020

A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The event described by E: "both dice come up with the same parity" (i.e., both numbers rolled are even or both numbers rolled are odd) is
◦ {(1, 3), (1, 5), (2, 4), (2, 6), (3, 1), (3, 5), (4, 2), (4, 6), (5, 1), (5, 3), (6, 2), (6, 4)}.
◦ {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 6)}.
◦ {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
◦ {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)}.
◦ none of these

Title: A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The ...
Post by: hramirez205 on May 5, 2020

{(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 6)}.