A bag contains 18 balls out of which x balls are red balls will be 9/8 times the probability of not drawing red balls. Find value of x .
You sure there are not 17 balls? Then the probabilities would be
8/17 and 9/17
Much messier with 18 balls, but you can see how to divide it up.
To find the value of x, we need to set up an equation using the given information.
Let's start by finding the probability of drawing a red ball. We know that the probability of drawing a red ball is x/18, as there are x red balls out of a total of 18 balls.
Now, let's find the probability of not drawing a red ball. The probability of not drawing a red ball is (18 - x)/18, as there are 18 - x non-red balls out of a total of 18 balls.
According to the given information, the probability of drawing a red ball will be 9/8 times the probability of not drawing a red ball. Mathematically, we can set up the equation:
(x/18) = (9/8) * ((18 - x)/18)
To solve this equation and find the value of x, we can simplify it:
8x = 9(18 - x)
Now, expand and solve for x:
8x = 162 - 9x
8x + 9x = 162
17x = 162
Divide both sides of the equation by 17:
x = 162/17
x ≈ 9.53
Therefore, the value of x is approximately 9.53.