Question

a beg contains in all 50 balls. some of them are blue some are white and sone are red balls . the number of white balls is 11 times the number of blue balls the number of red balls is less than the number if white balls also the number of red balls is more than the number of blue balls if one ball is selected at random what is probability of red ball​

Answer 1

Answer:

The probability of getting the red ball from the bag is 7 / 25

Step-by-step explanation:

Let the number of blue balls be ' x '

According to question,

The number of white balls is 11 times the number of Blue Ball

Therefore, number of white balls = 11x

So,

Blue balls + White balls = x + 11x = 12x

Also, it is given :

The number of red balls is less than the number of white balls and is more than the number of Blue Balls, that is,

Blue balls < Red balls < White balls

= x < number of red balls < 11x

Since the total number of balls are 50, The possible sum of blue and white balls are :

12, 24, 36, 48

if the sum is 12,

Blue ball = 1 [ x = 1 ]

White = 11 * 1 = 11

Red ball = 50 - 12 = 38

Since Number of Red ball > White ball

It does not satisfy the given condition

Now if sum is 24

Blue ball = 2 [ x = 2 ]

White = 11 * 2 = 22

Red ball = 50 - 24 = 26

Again Since Number of Red ball > White ball

It does not satisfy the given condition

Taking sum = 36

Blue ball = 3 [ x = 3 ]

White = 11 * 3 = 33

Red ball = 50 - 36 = 14

Since Number of Red ball < White ball and also Number of Red ball > Blue ball

So this satisfies the condition

Taking sum = 48

Blue ball = 4 [ x = 4 ]

White = 11 * 4 = 44

Red ball = 50 - 48 = 2

Since Number of Red ball < White ball but Number of red ball < Blue ball

So, it does not satisfy the given condition

Therefore third option where total sum is 36 is the only correct possibility.

So,

Number of blue balls = 3,

Number of white balls = 33

Number of Red balls = 14

We know ,

Total number of ball = 50

Number of red ball = 14

Probability = Number of possible outcomes / Total number of outcomes

Probability of getting red ball = 14/50 = 7/25

Hence,

The probability of getting red ball from the bag is 7/25