Answer:
180
Step-by-step explanation:
In this drawing I made, I added some variables. a and d are complimentary, meanwhile b and c are complimentary. A straight line is an angle of 180 degrees. Therefore, a + b = 180.
There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replac
ing the first, what is the probability that both will be chocolate chip? 6
1 answer:
Answer:
A
Step-by-step explanation:
So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.
The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.
The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.
So, the probability of pulling a chocolate chip cookie consecutively is:
Our answer is A :)
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Answer:
Step-by-step explanation:
Let's call D the event that a person has the disease, D' the event that a person doesn't have the disease and T the event that the person tests negative for the disease.
So, the probability P(D/T) that a randomly chosen person who tests negative for the disease actually has the disease is calculated as:
P(D/T) = P(D∩T)/P(T)
Where P(T) = P(D∩T) + P(D'∩T)
So, the probability P(D∩T) that a person has the disease and the person tests negative for the disease is equal to:
P(D∩T) = (1/1000)*(0.005) = 0.000005
Because 1/1000 is the probability that the person has the disease and 0.005 is the probability that the person tests negative given that the person has the disease.
At the same way, the probability P(D'∩T) that a person doesn't have the disease and the person tests negative for the disease is equal to:
P(D'∩T) = (999/1000)*(0.99) = 0.98901
Finally, P(T) and P(D/T) are equal to:
P(T) = 0.000005 + 0.98901 = 0.989015