Question

(i) A prime number will appear

(ii) A number greater than or equal to $3$ will appear

(iii) A number less than or equal to one will appear

(iv) A number more than $6$ will appear

(v) A number less than $6$ will appear

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$S={1,2,3,4,5,6}$

(i) Let $A$ be the event of the occurrence of a prime number $βA={2,3,5}$

$β΄P(A)=TotalnumberofpossibleoutcomesNumberofoutcomesfavourabletoAβ=n(S)n(A)β=63β=21β$

(ii) Let $B$ be the event of the occurrence of a number greater than or equal to $3$ $βB={3,4,5,6}$

$β΄P(B)=TotalnumberofpossibleoutcomesNumberofoutcomesfavourabletoBβ=n(S)n(B)β=64β=32β$

(iii) Let $C$ be the event of the occurrence of a number less than or equal to one $βC={1}$

$β΄P(C)=TotalnumberofpossibleoutcomesNumberofoutcomesfavourabletoCβ=n(S)n(C)β=61β$

(iv) Let $D$ be the event of the occurrence of a number greater than $6$ $βD=Ο$

$β΄P(D)=TotalnumberofpossibleoutcomesNumberofoutcomesfavourabletoDβ=n(S)n(D)β=60β=0$

Β (v) Let $E$ be the event of the occurrence of a number less than $6$ $βE={1,2,3,4,5}$

$β΄P(E)=TotalnumberofpossibleoutcomesNumberofoutcomesfavourabletoEβ=n(S)n(E)β=65β$

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