Question

A bag has 80 marbles .if 25 are red 35 are yellow and rest are black .find the probability of yellow marbles,black marbles and other than yellow​

Answer 1

Bag contains marbles = 80

Red marbles = 25

Yellow marbles = 35

Black marbles = 80-25-35 = 20

Probability of red and black marbles = 25+20/80

=55/80

=11/16

So you will get 11 marbles other than yellow in every 16 times you pick up marble

Answer 2

Given

A bag has 80 marbles, if 25 are red 35 are yellow and rest are black, find the probability of yellow marbles, black marbles and other than yellow​.

To find

The probability of getting yellow and black marbles and marbles other than yellow.

Solution

Number of total marbles the bag has = 80

Number of red marbles = 25

Number of yellow marbles = 35

Number of black marbles = (total number of marbles) - [number of red marbles + number of yellow marbles]

                                           = 80 - (25+35)

                                           = 80 - 60

                                           = 20

The formula to find probability is :

$\frac{Number \: of \:favourable \: outcomes }{Total \: number \: of \: possible \: outcomes}$

So , the probability of getting yellow marbles = $\frac{ 35 }{80}$ = $\frac{ 7 }{16}$

The probability of getting black marbles = $\frac{ 20 }{80}$ = $\frac{ 1 }{4}$

The probability of getting marbles other than yellow (red and black) = $\frac{25 +20 }{80}$ = $\frac{ 45 }{80}$ = $\frac{ 9 }{16}$

Hence,

• The probability of getting yellow marbles is $\frac{ 7 }{16}$ .

• The probability of getting black marbles is  $\frac{ 1 }{4}$ .

• The probability of getting marbles other than yellow is $\frac{ 9 }{16}$ .