Answer:
It's a property of log() or ln() functions. It's states:

in other word, subtraction of log functions could be combined to a quotient in the log function.
Answer:
83/85 (about 98% chance)
Step-by-step explanation:
1-85 = 85 tickets
24 and 31 = 2 tickets
85-2=83
83/85 = about 98%
Luanne flips a coin and rolls a six-sided number cube. What is the probability that the coin will land on heads and the number cube will land on three?
Answer: 1/12
Answer:
A) 0.1612
B) 0.8031
C) 0.1969
Step-by-step explanation:
For each toss of the die, there are only two possible outcomes. Either it is a 3, or it is not. The probability of getting a 3 on each toss is independent from other tosses. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
Five tosses, so 
The die has 6 values, from 1 to 6. The die is fair, so each outcome is equally as likely. The probability of a 3 appearing in a single throw is 
(a) twice
This is 


(b) at most once





(c) at least two times.
Either a 3 appears at most once, or it does at least two times. The sum of the probabilities of these events is decimal 1. So

We want 
So
