Question

From a bag containing 10 black and 12 white balls, a ball is drawn
at random. What is the probability that it is black?​

Answer 1

Question:

From a bag containing 10 black and 12 white balls, a ball is drawn at random. What is the probability that it is black?

Given:

• Black balls in Bag= 10
• White balls in Bag= 12

To Find:

• Probability that ball drawn from bag is Black.

Formula to be used:

$\sf{P(A)=\large\frac{Favourable\: number\: of\: elementary\: events}{Total\: Number\: of\: elementary\: events}}$

Where,

• P(A) is probability of happening occurence of event A.

Solution:

$\rightarrow$ Total Number of balls in Bag= 10+12 = 22 Balls.

$\therefore$ Total Number of elementary events= 22

$\rightarrow$ There are 10 Black balls in Bag.

$\therefore$ Favourable number of elementary events= 10

$\\ \dashrightarrow\mathsf{P(A)=\large\frac{Favourable\: number\: of\: elementary\: events}{Total\: Number\: of\: elementary\: events}}$

$\dashrightarrow\mathsf{P(Getting\: a\: Black\: Ball)=\large\frac{10}{22}}$

Hence, The probability that the ball drawn from bag is Black is $\frac{10}{22}$

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