Question

Tina has a jar containing red, green and blue marbles. The probability of drawing any colour marble
is the same. She adds 6 blue marbles in the jar and finds that the probability of drawing blue marble
changes to 1/2. What is the probability of drawing a red marble from the jar now?

Answer 1

Answer:

1/4

Step-by-step explanation:

Let the no. of marbles of each color in the beginning be 'x'.

Then, the total no. of marbles will be '3x'.

The probability of drawing any color marble from the jar in the beginning will be 'x/3x' = '1/3'

After addition of 6 blue marbles,

Probability of drawing blue marble will be '(x+6/3x+6)'.

A/q,

=>(x+6/3x+6)=1/2

=>3x+6=2x+12

=>3x-2x=12-6

=>x=6

Probability of finding red marble= 6/24 = ¼