[tex]25 < x \leqslant 90[/tex]
[tex]x \: \epsilon \: (25,90][/tex]
[tex]P = \frac{nr. \: cazuri \: favorabile}{nr.cazuri \: posibile} [/tex]
[tex]cardA = 64 \: (cazuri \: posibile)[/tex]
[tex]a)nr. \: prime \: cuprinse \: in \: intervalul \: (25,90][/tex]
[tex]29,31,37,41,43,47,53,59,61,67,71,73,79,83,89\: = > 15 \: nr.(cazuri \: favorabile)[/tex]
[tex]P = \frac{15}{64} [/tex]
[tex]b)nr. \: divizibile \: cu \: 15 \: cuprinse \: in \: intervalul \: (25,90][/tex]
[tex]30,45,60,75,90 \: = > 5 \: nr.(cazuri \: favorabile)[/tex]
[tex]P = \frac{5}{64} [/tex]
[tex]c)nr. \: pare \: cuprinse \: in \: intervalul \: (25,90][/tex]
[tex]26,28,30,32,34,36,...,90 = > 33 \: nr. \: (cazuri \: favorabile)[/tex]
[tex]P = \frac{33}{64} [/tex]
[tex]d)nr. \: impare \: cuprinse \: in \: intervalul \: (25,90][/tex]
[tex]27,29,31,33,35,...,89 \: = > 32 \: nr. \: (cazuri \: favorabile)[/tex]
[tex]P = \frac{32}{64} = \frac{1}{2} [/tex]
