Question

You roll a 6-sided die. What is P(not odd)? Write your answer as a percentage.

Answer 1

Answer:

$\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}$

Step-by-step explanation:

Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,

$\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}$

And the total number of possible outcomes is 6 . That is ,

$\sf\implies n(Sample \ space )= 6$

Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .

$\sf\implies n(Outcomes_{(even)})= 3$

Now , lets use the formula of Probability that is ,

Probability :-

$\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}$

Now put on the respective values :-

$\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }$

$\rule{200}2$

Expressing the probability as percentage :-

$\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}$