1.

Pozz solve it.. .... ​

Answer»

AnswEr :\\  \\

\star \sf \: Given\begin{cases} \:  \:  \: { \bf{Possible  \: events = 6 }}\\  \\ \: \: \:{ \bf{No.  \: on \:  dice = 1,<klux>2</klux>,3,4,5  \: and \: 6}} \end{cases}\\

Now, we know the required formula for finding Probability.

That is, \\

\:  \:    \:  \:  \star \:  \: {\boxed{ \sf{ \purple{Probability =  \dfrac{No.  \: of \:  favourable  \: outcomes}{Total \:  no. \:   of \:  favourable \:  outcomes}}}}}

(I) A Prime Number :\\

Prime numbers = 2, 3 & 5

\\

No. of favourable outcomes = 3

\bigstar \:{ \underline{\sf \: Probability : }}  \\  \\ : \implies\sf \:  \dfrac{3}{6}  \\  \\ : \implies\sf \: \blue{\dfrac{1}{2}} \\  \\

(ii) A number lying between 2 and 5 :\\

Number's lying between 2 and 5 = 3 & 4

\\

No. of favourable outcomes = 2

\bigstar \:{ \underline{\sf \: Probability : }}  \\  \\ : \implies\sf \:  \dfrac{2}{6}  \\  \\ : \implies\sf \: \green{\dfrac{1}{3}} \\  \\

(III) An EVEN number :\\

Even numbers = 2, 4 & 6

\\

No. of favourable outcomes = 3

\bigstar \: { \underline{\sf \: Probability : }}  \\  \\ : \implies\sf \:  \dfrac{3}{6}  \\  \\ : \implies\sf \: \orange{\dfrac{1}{2}} \\



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