Question

a bag contains 11 white balls and some red balls. if the probability of drawing a red ball is double that of white ball. find the number of red balls. also find probability of red balls

Answer 1

Answer:

2/3 is the answer mark me as brainly

Answer 2

Given,

Number of white balls = 11

The probability of drawing a red ball is double that of a white ball.

To find,

The number of red balls and the probability of drawing a red ball.

Solution,

The number of red balls will be 22 and the probability of drawing a red ball will be 2/3.

We can easily solve this problem by following the given steps.

According to the question,

Number of white balls = 11

The probability of drawing a red ball is double that of a white ball.

Let's take the number of red balls to be x.

And we know that the formula to find the probability is given as follows:

Probability = Number of favourable outcomes/total number of outcomes

In this case, the total number of balls are (11+x).

P (red ball) = 2 × P(white ball)

x/(11+x) = 2×11/(11+x)

Dividing (11+x) by (11+x),

x = 2×11

x = 22

Probability (red ball) = x/(11+x)

P = 22/(11+22)

P = 22/33

Converting it into the simplest form,

P = 2/3

Hence, the number of red balls is 22 and the probability of drawing a red ball is 2/3.