The number 12 and 14 are the modes .
Answer:
1.96666666667 sorry I don't know the fraction
Condition (A) P(B/A) = y is true.
<h3>
What is probability?</h3>
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
To find the true condition:
If two events are independent, then:
Use formulas for conditional probabilities:
- Pr(A/B) = Pr(A∩B) / Pr(B)
- Pr(B/A) = Pr(B∩A) / Pr(A)
For independent events these formulas will be:
- Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
- Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)
Now in your case, Pr(A) = x and Pr(B) = y.
- Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y
Therefore, condition (A) P(B/A) = y is true.
Know more about probability here:
brainly.com/question/25870256
#SPJ4
The complete question is given below:
The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?
a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
Answer:
(B) 5/6 ·13÷4
(C) 5/6 ÷4·13
(D) 5/6 · 13/4
Step-by-step explanation:
Amount of paint per can = ![\[\frac{5}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B5%7D%7B6%7D%5C%5D)
liters.
Number of cans used to paint 4 cars = 13
Total amount of paint used for 4 cars = ![\[13 * \frac{5}{6}\]](https://tex.z-dn.net/?f=%5C%5B13%20%2A%20%5Cfrac%7B5%7D%7B6%7D%5C%5D)
liters.
= ![\[\frac{13 * 5}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B13%20%2A%205%7D%7B6%7D%5C%5D)
liters.
= ![\[\frac{65}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B6%7D%5C%5D)
liters.
Total amount of paint used for 1 car = ![\[\frac{65}{6} \div 4\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B6%7D%20%5Cdiv%204%5C%5D)
liters.
= ![\[\frac{65}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B24%7D%5C%5D)
liters.
Of the given options, option B,C and D correspond to the same value.
