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a number cube is rolled 3 timesan outcome is represented by a string of sort OEE (meaning an odd num on the first roll, even num on the second roll, even num on the third roll) the 8 outcomes are listed and probability Event A) alternating Odd number & Even number (with either coming 1st)Event B) more Odd numbers then Even numbers Event C) an Even number on the first rol

a number cube is rolled 3 timesan outcome is represented by a string of sort OEE meaning an odd num on the first roll even num on the second roll even num on th class=


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SOLUTION:

Required:

Event A)

-Alternating odd or even number

Possible combination (OEO or EOE)

[tex]\begin{gathered} Pr(A)\text{ =}\frac{2}{8} \\ Pr(A)\text{ = }\frac{1}{4} \end{gathered}[/tex]

Event B)

-More odd than even numbers

Possible combination (OOO, OOE, OEO or EOO)

[tex]\begin{gathered} Pr(B)\text{ = }\frac{4}{8} \\ Pr(B)\text{ = }\frac{1}{2} \end{gathered}[/tex]

Event C)

-Even number on the first roll

Possible combination (EEO, EEE, EOE or EOO)

[tex]\begin{gathered} Pr(C)\text{ = }\frac{4}{8} \\ Pr(C)\text{ = }\frac{1}{2} \end{gathered}[/tex]

Final answers:

Event A) 1/4

Event B) 1/2

Event C) 1/2

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