1.

When a die is thrown list the outcomes of an event getting a) a prime no. b) a no. greater than 5​

Answer»

Given :

  • A DIE is thrown .

To Find :

  • Probability of getting a PRIME number .
  • Probability of getring a number which is greatef than 5 .

Solution :

\longmapsto\tt{Total\:Outcomes=<klux>6</klux>}

= 1 , 2 , 3 , 4 , 5 , 6 .

1. Probability of getting a prime number :

\longmapsto\tt{Favourable\:Outcomes=3\:(2,3,5)}

\longmapsto\tt{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}

\longmapsto\tt{\cancel\dfrac{3}{6}}

\longmapsto\tt\bf{\dfrac{1}{2}}

So , The Probability of getting a prime number is 1/2 ..

_______________________

2. Probability of getting a number GREATER than 5 :

\longmapsto\tt{Favourable\:Outcomes=1\:(6)}

\longmapsto\tt{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}

\longmapsto\tt\bf{\dfrac{1}{6}}

So , The Probability of getting a number greater than 5 is 1/6 ..



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