Question

A bag contains only red marbles and blue marbles. there are 6 marbles in the bag. the bag contains twice as many blue marbles as red marbles. nadia takes one marble from the bag without looking. the probability that the marble is blue is

Answer 1

let x=red, then blue=2x
x+2x=6
3x=6
x=2
2 red and 4 blue. the odds of drawing a blue is then 4/6, or 2/3, or approximately 66.7%

Answer 2

Probability of getting blue =
`(2)/(3)`.

Explanation:

Given : A bag contains only red marbles and blue marbles. there are 6 marbles in the bag. the bag contains twice as many blue marbles as red marbles. nadia takes one marble from the bag without looking.

To find : the probability that the marble is blue .

Solution : We have given

Total marble in beg = 6

Let the red marble = x

Blue = 2x .

So, x + 2x = 6.

3x = 6

On subtracting both sides by 3

x = 2.

Red marble = 2

Blue marbles are 4.

Probability of getting blue =
`(Blue\ marble)/(Total\ marble)`.

Probability of getting blue =
`(4)/(6)`.

Probability of getting blue =
`(2)/(3)`.

Therefore, Probability of getting blue =
`(2)/(3)`.