Question

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

Answer 1

Required:

Event A)

-Alternating odd or even number

Possible combination (OEO or EOE)

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

Event B)

-More odd than even numbers

Possible combination (OOO, OOE, OEO or EOO)

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

Event C)

-Even number on the first roll

Possible combination (EEO, EEE, EOE or EOO)

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

Final answers:

Event A) 1/4

Event B) 1/2

Event C) 1/2