14. A bag contains 3 red balls and 5 black balls. A ball is drawn at r

1.	14. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. Whatis the probability that the ball drawn is red?12
Answer» $\large\maltese {\textsf{\textbf{\: Given~:}}}$ It is given that a BAG CONTAINS 3 RED and 5 black balls. $\\$ $\large \maltese{\textsf{\textbf{ \: To \: find \: :}}}$ We have to find the probability of red ball when DRAWN randomly from the bag. $\\$ $\large \maltese{\textsf{\textbf{ \: Solution \: :}}}$ Total no. of balls in bag = 5+3 = 8 No. of red balls = 3 $\boxed{\red{\pmb{\rm Probability \: of \: getting \: a \: red \: ball= \cfrac{No. \: of \: red \: balls}{Total \: no. \: of \: balls} }}}$ ${:\implies}\rm \cfrac{3}{8}$ $\boxed{\red{\pmb{\rm \therefore \: Probability \: of \: getting \: a \: red \: ball= \frac{3}{8} \: (or) \: 0.375.}}}$ $\\$ $\large \maltese{\textsf{\textbf{ \: Must \: remember \: : }}}$ If the total number of trials is 'n' then the probability of event D happening is : $\rm{P(D) = \cfrac{No. \: of \: trials \: in \: which \: the \: event \: happened}{Total \: no. \: of \: trials} }$ Probability of event can be as : $\rm 0 \geqslant P(E)\geqslant 1$ $\\$ _____________________________ Swipe the screen from left to right in order to view the answer completely!

14. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. Whatis the probability that the ball drawn is red?12

Answer»

$\large\maltese {\textsf{\textbf{\: Given~:}}}$

It is given that a BAG CONTAINS 3 RED and 5 black balls.

$\\$

$\large \maltese{\textsf{\textbf{ \: To \: find \: :}}}$

We have to find the probability of red ball when DRAWN randomly from the bag.

$\\$

$\large \maltese{\textsf{\textbf{ \: Solution \: :}}}$

$\boxed{\red{\pmb{\rm Probability \: of \: getting \: a \: red \: ball= \cfrac{No. \: of \: red \: balls}{Total \: no. \: of \: balls} }}}$

${:\implies}\rm \cfrac{3}{8}$

$\boxed{\red{\pmb{\rm \therefore \: Probability \: of \: getting \: a \: red \: ball= \frac{3}{8} \: (or) \: 0.375.}}}$

$\\$

$\large \maltese{\textsf{\textbf{ \: Must \: remember \: : }}}$

If the total number of trials is 'n' then the probability of event D happening is :

$\rm{P(D) = \cfrac{No. \: of \: trials \: in \: which \: the \: event \: happened}{Total \: no. \: of \: trials} }$

$\rm 0 \geqslant P(E)\geqslant 1$

$\\$

_____________________________

Swipe the screen from left to right in order to view the answer completely!