Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of pap
er. 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? no, because the probability of choosing a yellow slip is not equal to the probability of choosing a yellow slip given an odd number
no, because the probability of choosing an odd number is not equal to the probability of choosing an odd number on a yellow slip
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
yes, because the probability of choosing an odd number on a yellow slip of paper is equal to the probability of choosing an odd number
The correct answer option is: Yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
.
<u>Step-by-step explanation:</u>
We are given that Elias writes the numbers 1 through 20 on separate slips of paper.
Given that there are 16 white slips and four yellow slips and eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips, we can conclude that the events are odd and yellow independent because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
.