Question

A bag contains 6 white, 5 red and 4 black balls. If one ball is drawn randomly, find the probability that the ball is white​

Answer 1

Answer:

Option (4) 2/3

Total number of balls = 4+5+6 = 15

Probability of getting white balls = 4/15

Probability of getting red balls = 6/15

Thus, the probability that the drawn ball is either white or red = Probability of getting white balls + probability of getting red balls

= (4/15) + (6/15)

= 10/15

= 2/3

Answer 2

Given

• Number of white balls = 6
• Number of red balls = 5
• Number of black balls = 4

To Find

• Probability of getting white ball

Solution

$\sf{Probability \: \: of \: \: getting \: \: white \: \: ball = \dfrac{Number \: \: of \: \: white \: Ball }{ total \: \: number \: \: of \: \: balls }}$

$\sf{Probability \: \: of \: \: getting \: \: white \: \: ball = \dfrac{4 }{ 6 + 5 + 4 }}$

$\sf{Probability \: \: of \: \: getting \: \: white \: \: ball = \dfrac{4 }{ 11 + 4 }}$

$\sf{Probability \: \: of \: \: getting \: \: white \: \: ball = \dfrac{4 }{ 15 }}$

Basic Probability Rules

• Probability Rule One (For any event A, 0 ≤ P(A) ≤ 1)

• Probability Rule Two (The sum of the probabilities of all possible outcomes is 1).

• Probability Rule Three (The Complement Rule)

• Probabilities Involving Multiple Events.

• Probability Rule Four (Addition Rule for Disjoint Events)