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Question

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.

For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

Outcomes Probability OOE OEE OEO EEE OOO EEO EOO EOE Event A: No even numbers on the last two rolls Event B: An even number on the first roll or the third roll (or both) Event C: Alternating even number and odd number (with either coming first)

Answer 1

The table conntans probabilities of the specified event.

EVENTS	PROBABILITIES
Event A	1/4
Event B	3/4
Event C	1/4

The detailed solution to the probabilities are given in the attached file. Hope this helps.