List the sample space and tell whether the event is equallylikely: Roll two dice

Question

List the sample space and tell whether the event is equallylikely: Roll two dice; record the postive (absolute value)difference. A) {1, 2, 3, 4, 5, 6}, equally likely B) {1, 2, 3, 4, 5, 6}, not equally likely C) {0, 6}, not equally likely D) {0, 1, 2, 3, 4, 5}, equally likely E) {0, 1, 2, 3, 4, 5}, not equally likely List the sample space and tell whether the event is equallylikely: Roll two dice; record the postive (absolute value)difference. A) {1, 2, 3, 4, 5, 6}, equally likely B) {1, 2, 3, 4, 5, 6}, not equally likely C) {0, 6}, not equally likely D) {0, 1, 2, 3, 4, 5}, equally likely E) {0, 1, 2, 3, 4, 5}, not equally likely

Explanation / Answer

==> A,B,C events don't exist We are left with D and E. The below table shows thedistribution of X
------- D1|D2 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6           5 4 3 2 1 0

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