Question

a box contains 5 red 8 green and 7 blue balls one ball is drawn at random what is the probability that the drawn ball is non red

Answer 1

P(non red)=

$\frac{no. \: of \: favourable \: outcomes}{total \: outcomes} = \frac{15}{20} = \frac{3}{4}$

Answer 2

The probability that the drawn ball is non red = 3/4

Given :

• A box contains 5 red , 8 green and 7 blue balls

• one ball is drawn at random

To find :

The probability that the drawn ball is non red

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The box contains 5 red , 8 green and 7 blue balls

Total number of balls

= 5 + 8 + 7

= 20

So total number of possible outcomes = 20

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the drawn ball is non red

Total number of non red balls

= 8 + 7

= 15

So total number of possible outcomes for the event A is 15

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{15}{20} }$

$\displaystyle \sf{ = \frac{3}{4} }$

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