I need help with this math question. Probability.
In a poll, respondents were asked whether they were planning to vote in the local election. 475 respondents indicated that they were planning to vote and 496 said that they were not. What is the probability that the next respondent questioned will indicate that they are planning to vote?
Thank you
475/971
thank you. I have been having trouble with these probability questions. They are so simple but yet I am making them hard. Thank you for your help. I am not very good with word problems and tend to over think them.
To find the probability that the next respondent questioned will indicate that they are planning to vote, we need to know the total number of respondents.
Let's call the total number of respondents "N."
From the information given, we know that 475 respondents indicated they were planning to vote and 496 respondents indicated they were not planning to vote.
Therefore, the total number of respondents N is given by:
N = the number of respondents planning to vote + the number of respondents not planning to vote
N = 475 + 496
Now, we can calculate the probability that the next respondent questioned will indicate that they are planning to vote by taking the number of respondents planning to vote and dividing it by the total number of respondents:
Probability = Number of respondents planning to vote / Total number of respondents
Probability = 475 / N
You can now substitute the value of N into the equation to calculate the probability.
To find the probability that the next respondent will indicate that they are planning to vote, we can use the concept of probability.
Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, we know that there are 475 respondents who indicated that they are planning to vote, out of a total of (475 + 496) respondents who were polled.
So, the probability can be calculated as:
P(indicating planning to vote) = Number of respondents indicating planning to vote / Total number of respondents
P(indicating planning to vote) = 475 / (475 + 496)
Now, we can calculate this probability:
P(indicating planning to vote) ≈ 0.489, or 48.9%
Therefore, the probability that the next respondent questioned will indicate that they are planning to vote is approximately 0.489 or 48.9%.