Question

There are 14 marble in a box out of which 3 are red 6 are green 5 are blue

Answer 1

QUESTION

There are 14 marbles in a box out which 3 are red, 6 are green, 5 are blue.

Find the  probability of getting

(i) Red marble

(ii) Green marble

(iii) Blue marble

                                                                         

SOLUTION

$\bold{Total \ number \ of \ marbles} = 14$

$\bold{Total \ number \ of \ red\ marbles} = 3$

$\bold{Total \ number \ of \ green\ marbles} = 6$

$\bold{Total \ number \ of \ blue\ marbles} = 5$

SOMETHING YOU NEED TO KNOW

$\boxed{\sf Probability \ of \ getting \ an \ outcome = \dfrac{Total \ no: \ of \ getting \ an \ outcome}{Total \ no: \ of \ outcomes}}$

(i) Probability of getting a red marble

$= \sf \dfrac{Total \ no: \ of \ red \ marbles}{Total \ no: \ of \ marbles}$

$=\boxed{\boxed{\bold{ \frac{3}{14} }}}}}$

                                                                           

(ii) Probability of getting a green marble

$= \sf \dfrac{Total \ no: \ of \ green \ marbles}{Total \ no: \ of \ marbles}$

$= \dfrac{6}{14}$

$=\boxed{\boxed{\bold{ \frac{3}{7} }}}}}$

                                                                           

(iii) Probability of getting a blue marble

$= \sf \dfrac{Total \ no: \ of \ blue \ marbles}{Total \ no: \ of \ marbles}$

$=\boxed{\boxed{\bold{ \frac{5}{14} }}}}}$