Quote (Wieners @ 10 Apr 2023 00:56)
Need help, show working pls.
In 30 days, 2 events occur.
In those 30 days, there is 8 days you do NOT want the even to occur.
What are the chances the event will occur on one of those 8 days ?
Please and thankyou.
As a ratio and also a %
MY ANSWER :
Both event have a 1/30 chance to occur on 30 days , so both event have 8/30 chance to occur in these 8 days,
there is is 26,67% chance for 1 event to occur in one of these 8 days.
For both events to occur in one of these 8 days, (26,67/100) x (26,67/100) = 0,0711 = 7,11% ,
there is 2,13/30 chance both events occurs in these 8 days wich is 7,11%.
CHATGPT ANSWERS :
Your response is incorrect. The probability of one event occurring on one of the 8 days is 8/30. The probability of both events occurring on one of the 8 days is (8/30) * (8/30) = 64/900. As a percentage, this is approximately 7.11%. As a ratio, this is 64:900.
The probability of at least one event occurring on one of the 8 days is 1 - the probability that neither event occurs on one of the 8 days. The probability that neither event occurs on one of the 8 days is (22/30) * (22/30) = 484/900. So the probability that at least one event occurs on one of the 8 days is 1 - 484/900 = 416/900. As a percentage, this is approximately 46.22%. As a ratio, this is 416:900.
another answer from CHATGPT:
The probability of an event occurring on one of those 8 days can be calculated as follows:
Probability of event occurring on any given day = (number of days event can occur) / (total number of days)
Probability of event not occurring on any given day = (number of days event cannot occur) / (total number of days)
In this case, there are 30 - 8 = 22 days when the event can occur and 8 days when it cannot occur.
Therefore, the probability of the event occurring on one of those 8 days is:
Probability of event occurring on one of those 8 days = 1 - Probability of event not occurring on any given day
Probability of event not occurring on any given day = (number of days event cannot occur) / (total number of days)
Probability of event not occurring on any given day = 8 / 30
Probability of event not occurring on any given day = 0.2667
Probability of event occurring on one of those 8 days = 1 - Probability of event not occurring on any given day
Probability of event occurring on one of those 8 days = 1 - 0.2667
Probability of event occurring on one of those 8 days = 0.7333 or 73.33%
Therefore, the probability that the event will occur on one of those eight days is 73.33% or 11:3 as a ratio.
This post was edited by Neili on Apr 9 2023 05:36pm