The probability of obtaining a factor of 3 and a head is [tex]\frac{3}{16}[/tex].
Beth spins a fair spinner numbered 1-8 and flips a fair coin
The probability of obtaining a factor of 3 and a head.
Solution:
So, at first, we will find the probability of obtaining a factor 3;
|2x-5|-|x-2|=0
⇒|2x-5|=|x-2|
If we remove the absolute bracket, we will get two cases
2x-5=x-2 & 2x-5=-(x-2)
x=7 and x=1
Now, the probability of obtaining a factor of 3 and a head.
[tex]P(x)=3x^{2}-36x+9[/tex]
[tex]P(\frac{1}{4} )=3(\frac{1}{4})^{2}-36*\frac{1}{4}+9=\frac{3}{16}-9+9[/tex]
[tex]P(\frac{1}{4})=\frac{3}{16}[/tex]
Hence, the answer for the probability of obtaining a factor and a head is [tex]\frac{3}{16}[/tex].
What is probability explain?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
How do you calculate probability?
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
What type of math is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
To learn more about probability, refer
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