Answer:
a) S = {1, 2, 3}
b) P(odd number) = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = ![\frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bnumber%20of%20odd%20digits%7D%7Bnumber%20of%20faces%7D%3D%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is
. Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
![x+x+x+x+x+2x=1](https://tex.z-dn.net/?f=x%2Bx%2Bx%2Bx%2Bx%2B2x%3D1)
![7x=1](https://tex.z-dn.net/?f=7x%3D1)
![x=\frac{1}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B7%7D)
P(odd number) =
Prob(1) + Prob(3)
=
= ![\frac{5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B7%7D)
The LCM is 540 because 54X10=540 which 20 goes into
Answer: 17,094 feet
Step-by-step explanation:
5280 ft. in 1 mile
5280 x 3= 15,840
15,840+1,254= 17,094 ft.
So "of" means multiply and 30% is .3 so multiply .3 by the 240 times and u get... 72!
Answer:
√74
Step-by-step explanation: