Question

Akk die is thrown one find the probability of getting (1)a prime number (2)a number lying between 2 and 5 ​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

• Possible events =6

• No.on dice = 1,2,3,4,5and6

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Prime number

• A lying between 2 and 5

$\;\;\underline{\textbf{\textsf {Solution :-}}}$

We know that,

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

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(I) A Prime Number :

• No. of favourable outcomes = 3

• Prime numbers are = 2, 3 & 5

$\:{ \underline{\sf \: Probability : }} \\ \\ \leadsto \sf \: \dfrac{3}{6} \\ \\ \leadsto \sf \: \purple{\dfrac{1}{2}}$

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(ii) A number lying between 2 and 5 :

• No. of favourable outcomes = 2

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

$\:{ \underline{\sf \: Probability : }} \\ \\ \leadsto \sf \: \dfrac{2}{6} \\ \\ \leadsto \sf \: \purple{\dfrac{1}{3}}$

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Answer 2

Answer:

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