Elias writes the numbers 1 through 20 on separate slips of paper. there are 16 white slips of paper and four yellow slips of paper. there are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. are the events "odd” and "yellow” independent?

Yes, they are independent.

Step-by-step explanation:

Given : Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips.

To find : Are the events "odd” and "yellow” independent?

Solution :

Independent events -

Two events are independent when the occurrence of ones does not affect the probability of second occurring.

Let A be the event of white slips

and B be the event of yellow slips

According to the given statement,

There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips.

Probability of A occurs does not affect the probability of B occurring.

Therefore, Yes, they are independent events.