There is a 60% that your math teacher will give a pop quiz tonight and, due to the fact that you have a soccer game, there is an 85% chance you will not be able to do your math homework.
You decide that you will do the homework if the probability of there being a pop quiz and your not doing your homework is greater than 60%.
What do you do and why?
Its .51
a) do your homework as the probability is 0.51
B)do your homework as the probability is 0.34
C)do not do your homework as the probability is 0.51
D)do not do your homework as the probability is 0.34
A?
There is a 60% that your math teacher will give a pop quiz tonight and due to the fact that you have a soccer game there is a 85% chance you will not be able to do your math homework.
You decide that you will not do the homework if the probability of there not being a pop quiz and you do your homework is greater than 5%.
its 0.06
What do you do and why?
A)do your homework as the probability is 0.51
B)do your homework as the probability is 0.06
C)do not do your homework as the probability is 0.51
D)do not do your homework as the probability is 0.06
B??
To determine the answer to these questions, we need to calculate the probabilities mentioned in the problem and compare them to the given thresholds.
For the first question:
The probability of there being a pop quiz is 60% or 0.60, and the probability of not being able to do your math homework is 85% or 0.85.
To find the probability of both events happening (pop quiz and not doing homework), we multiply the individual probabilities: 0.60 * 0.85 = 0.51.
Comparing this probability (0.51) to the threshold of 0.60, we see that the probability is less than the threshold. Therefore, you should not do your homework. The correct answer is D) do not do your homework as the probability is 0.34.
For the second question:
The probability of there not being a pop quiz is 100% - 60% = 40% or 0.40, and the probability of doing your homework is 100% - 5% = 95% or 0.95.
To find the probability of both events happening (no pop quiz and doing homework), we multiply the individual probabilities: 0.40 * 0.95 = 0.38.
Comparing this probability (0.38) to the threshold of 0.05, we see that the probability is greater than the threshold. Therefore, you should do your homework. The correct answer is A) do your homework as the probability is 0.51.
So, the correct answers are D) and A) for the respective questions.
For the first question, the probability of there being a pop quiz and you not doing your homework is equal to the product of the probability of a pop quiz (0.60) and the probability of not being able to do your homework (0.85).
So the probability is 0.60 * 0.85 = 0.51.
Since the probability of there being a pop quiz and you not doing your homework is greater than 0.60, you should do your homework.
So the correct answer is option A) do your homework as the probability is 0.51.
For the second question, the probability of there not being a pop quiz and you doing your homework is equal to the product of the complement of the probability of a pop quiz (1 - 0.60 = 0.40) and the complement of the probability of not being able to do your homework (1 - 0.85 = 0.15).
So the probability is 0.40 * 0.15 = 0.06.
Since the probability of there not being a pop quiz and you doing your homework is greater than 0.05, you should do your homework.
So the correct answer is option B) do your homework as the probability is 0.06.
or 2 could be D?? and 1 could be C??
anyone?