Question

there are 15 black, 5 green, 10 red and
10 yellow balls in a bag. if the ball
is drawn randomly find the probability that
the ball is green
.​

Answer 1

The probability that the ball is green is 1/8

Given :

• There are 15 black, 5 green, 10 red and 10 yellow balls in a bag.

• A ball is drawn randomly

To find :

The probability that the ball is green

Solution :

Step 1 of 3 :

Find total number of possible outcomes

There are 15 black, 5 green, 10 red and 10 yellow balls in a bag.

Total number of balls = 15 + 5 + 10 + 10 = 40

So total number of possible outcomes = 40

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the the ball is green

Since there are 5 green balls

So total number of possible outcomes for the event A is 5

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

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

$\displaystyle \sf{ = \frac{5}{40} }$

$\displaystyle \sf{ = \frac{1}{8} }$

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