The probability of an event can not be more than the number 1.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1.
Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,
[tex]\rm Probability \; of \;failure = 1-Probability\; of \;success[/tex]
Given information-
Rina spins the spinner less than the 30 times.
A success occurs when the spinner lands on a number that is greater than 6.
A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.
This number should be less than 30 as the spinner spins less than the 30 times.
Thus the total number of outcome of this event is,
[tex]=30-6\\=24[/tex]
Thus the probability of success is,
[tex]P=\dfrac{6}{24} \\P=\dfrac{1}{4}[/tex]
Hence the probability of success is 1/4.
As the probability of failure of a event is equal to the difference of the 1 to the success of the event.
Thus the probability of failure is,
[tex]P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\[/tex]
The probability of failure is 3/4.
Hence,
Learn more about the probability here;
https://brainly.com/question/24756209
