work out the probability

[proud wing]

find the probability that the disc is either blue or white.

[dawn stratus]

Let's use algebra to solve this problem.

Let's say that the number of green discs is "x". Then, the number of blue discs is 4 times x, or 4x. Also, we know that the number of blue discs is 3/8 of the total number of discs (since the ratio of blue discs to white discs is 3:5, meaning that the total ratio of blue discs to all discs is 3:(3+5) = 3:8). Therefore, we can set up the following equation:

4x = (3/8)(x + 4x + 5x)

Simplifying this equation, we get:

32x = 3(10x)

x = 15/2

So the number of green discs is 15/2, and the number of blue and white discs combined is (3/8)(15/2 + 4(15/2) + 5(15/2)) = 45/2.

The probability of selecting a blue or white disc is the number of blue and white discs combined divided by the total number of discs:

P(blue or white) = (45/2)/(15/2 + 4(15/2) + 5(15/2)) = 45/95 = 9/19

Therefore, the probability of selecting a blue or white disc is 9/19.

[proud wing]

ah okay

thank you

[summer pivot]

+close