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 S 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. Event A: More odd numbers than even numbers Event B: No odd numbers on the first two rolls Event C: An even number on both the first and the last rolls Explanation Check OEO EOE 000 0 Outcomes 0 OEE EEO OOE EOO 0 Probability 0 0 0 00 X Terms of se $ ? Privacy Center A

Answer 1

Step 1

`Probability\text{ of any event = }\frac{number\text{ of required outcomes}}{number\text{ of possible outcomes}}`

Step 2

`\begin{gathered} Event\text{ A} \\ Probability\text{ = }(4)/(8)\text{ = }(1)/(2) \end{gathered}`

Step 3

`\begin{gathered} Event\text{ B} \\ Probability\text{ = }(2)/(8)\text{ = }(1)/(4) \end{gathered}`

Step 4

`\begin{gathered} Event\text{ C} \\ Probability\text{ = }(2)/(8)\text{ = }(1)/(4) \end{gathered}`