Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Fail the test.
- Event B: Unfit.
The probability of <u>failing the test</u> is composed by:
- 46% of 37%(are fit).
- 100% of 63%(not fit).
Hence:
![P(A) = 0.46(0.37) + 0.63 = 0.8002](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.46%280.37%29%20%2B%200.63%20%3D%200.8002)
The probability of both failing the test and being unfit is:
![P(A \cap B) = 0.63](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.63)
Hence, the conditional probability is:
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.63%7D%7B0.8002%7D%20%3D%200.7873)
0.7873 = 78.73% probability that Mona was justifiably dropped.
A similar problem is given at brainly.com/question/14398287
Answer:
![\large\boxed{(f-g)(x)=x^3-3x+2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3Dx%5E3-3x%2B2%7D)
Step-by-step explanation:
![(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20f%28x%29%3D-3x%2B2%5C%20%5Ctext%7Band%7D%5C%20g%28x%29%3Dx%5E3.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D%28-3x%2B2%29%2B%28x%5E3%29%3Dx%5E3-3x%2B2)
21+21= 42 cookies minus 4 = 38 cookies
38/3= 12.66(round down to 12)
She made 12 bags with 3 in Each which is 36, so 2 were left over
2 - 0.002= 1.998
hope this helps
Answer:
4/13
Step-by-step explanation:
There are three face cards and four of each, plus four ace cards, for a total of 16. Thus, the probability of drawing an ace or a face card is 16/52, or 8/26, or 4/13.