Probability is the ratio of: the number of observations of an event n(A) compared to the total number of observation n(S). Generally it could be written as
P(A) =
Use combination to solve this problemThe event being observed n(A) in this problem is 2 engineers being selected from 4 engineers. The observation n(S) is about 2 people being selected from 10 people (engineers + pilots).
n(A) could be determined using combination of 2 engineers from 4 engineers
n(A) =
![C^4_2](https://tex.z-dn.net/?f=C%5E4_2)
n(A) =
![\dfrac{4!}{2!(4-2)!}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%21%7D%7B2%21%284-2%29%21%7D)
n(A) =
![\dfrac{4!}{2!2!}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%21%7D%7B2%212%21%7D)
n(A) =
![\dfrac{4 \times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%201%7D%7B2%20%5Ctimes%201%20%5Ctimes%202%20%5Ctimes%201%7D)
n(A) =
![\dfrac{24}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B24%7D%7B4%7D)
n(A) = 6
n(S) could be determined using combination of 2 people from 10 people
n(S) =
![C^10_2](https://tex.z-dn.net/?f=C%5E10_2)
n(S) =
![\dfrac{10!}{2!(10-2)!}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%21%7D%7B2%21%2810-2%29%21%7D)
n(S) =
![\dfrac{10!}{2!8!}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%21%7D%7B2%218%21%7D)
n(S) =
![\dfrac{10 \times 9 \times 8!}{2 \times 1 \times 8!}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%20%5Ctimes%209%20%5Ctimes%208%21%7D%7B2%20%5Ctimes%201%20%5Ctimes%208%21%7D)
n(S) =
![\dfrac{10 \times 9}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%20%5Ctimes%209%7D%7B2%7D)
n(S) =
![\dfrac{90}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B90%7D%7B2%7D)
n(S) = 45
The probability
P(A) =
![\dfrac{n(A)}{n(S)}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bn%28A%29%7D%7Bn%28S%29%7D)
P(A) =
![\dfrac{6}{45}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B6%7D%7B45%7D)
P(A) =
The probability is 2/15
Answer:
It is 1/3 since there is an equal chance because
D1,D2,D3,D4,D5,D6
![\frac{2}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B6%7D%20)
= ( remember to simplify)
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
Do you mean 100 multiplied by 100?
Answer:
about 46
Step-by-step explanation:
Answer:
A. Line graph
Step-by-step explanation: