Answer:
1 in 15, or 6,67%
Step-by-step explanation:
We'll suppose a few things here, because your question isn't very explicit on details.
First, we'll suppose the numbers and the colors are placed in two different bags/bowls.. so you do one pick for a number and one pick for a color, since you talk about compound events.
Second, the question says "picking a number" and "choosing the color...". We'll assume it means chances of picking a specific number and a specific color... like "Number 3 and color white".
Since they are compound events, you multiply the probability of each one occurring.
First, how many chances to pick a given number from the 5 numbers?
1/5 right?
How many chances to pick a given color from the 3 colors?
1/3 right?
Every time you pick the number 4, you still have 3 possibilities regarding the color.
So, the compound probability is:
[tex]\frac{1}{5} * \frac{1}{3} = \frac{1}{15}[/tex]
1/15 to pick a specific number/color combination.
