Question

A bag contains 12 balls out of which 'x' are red, if 6 more red balls are put in
the bag, the probability of drawing a red ball will be double. Find 'x'.
When the two polynomials x-px + x + 6 and 2x - x - (p+3) X-6​

Answer 1

Answer:

Total balls=12

Let the red balls be x

So,P1 = x/12

If the red balls increased to 6 then,

Total balls will be = 12+6=18

Red balls will be = x+6

So, P2 = x+6/18

Now,

x/12 = x+6/18

x/2 = x+6/3

3x = 2x+12

3x-2x = 12

x = 12

Answer 2

Step-by-step explanation:

Given A bag contains 12 balls out of which 'x' are red, if 6 more red balls are put in  the bag, the probability of drawing a red ball will be double. Find 'x'.

• Given total balls in the box = 12
• Red balls in the box = x
• Probability of drawing a red ball = Number of red balls / total number of balls
•                                                      = x/12
• If 6 more red balls are put in the box then total number of balls will be 12 + 6 = 18
• Number of red balls = x + 6
• Probability of drawing a red ball = x + 6 / 18
• According to question probability of drawing a red ball is double
• So new probability = 2 x old probability
• So x + 6 / 18 = 2 x x / 12
• So x + 6 / 18 = x/6
• Or x + 6 / 3 = x
• Or 3x = x + 6
• Or 2x = 6
• Or x = 3
• Therefore number of red balls is 3

Reference link will be

https://brainly.in/question/1530378