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?

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.

Martebi Martebi · Answer 2 · 2022-01-31T19:20:30+01:00

There are different kinds of event. T he events "odd” and "yellow” are said to be independent.

What is known as an independent event in probability?

Two events are said to be independent only when the occurrence of one event does not influence the chances of the happening or occurrence of the other event.

The mathematical equation of the independence of an events A and B is stated as the probability of the occurrence of both A and B when made equal to the product of the probabilities of A and B such as P(A and B)

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

Probability of A (odd numbers on white slips) occurs does not affect the probability of B ( odd numbers are on yellow slips) from occurring.

Therefore, the event are regarded as independent.

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