Question 1155351
Each morning gataro does one of the following exersises cycling , jogging and weightlifting he chooses the exersise 
to do by {{{highlight(cross(topping))}}} <U>tossing</U> a {{{highlight(cross(father))}}} <U>fair</U> die. The faces of the die are numbered 1,1,2,3,4,5.
If the score is 2,3,5 he goes for cycling, if  the score is 1, he goes for jogging if it is 4, he goes for weightlifting.
(a)  Find the probability that on a given morning he goes for cycling or weightlifting,
(b)  and the probability that on consecutive mornings he goes for jogging
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<pre>
(a)  P(cycling) = {{{1/2)}}};  P(weightlifting) = {{{1/6}}};   P(jogging) = {{{2/6}}} = {{{1/3}}}.


     P(cycling OR weightlifting) = 1 - P(jogging) = 1 - {{{1/3}}} = {{{2/3}}}.    <U>ANSWER</U>



(b) P((cycling OR weightlifting this morning) AND (jogging next morning)) = 

        {{{(2/3)*(1/3)}}} = {{{2/9}}}.    <U>ANSWER</U>
</pre>

Solved.