Question

Probability of compound events: picking a number from 1 to 5 and choosing the color red,white,orblue

Answer 1

1 in 15, or 6,67%

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:

`(1)/(5) * (1)/(3) = (1)/(15)`

1/15 to pick a specific number/color combination.