To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be , where n is the number of digits after the decimal separator.
So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be
which is irreducible.
The probability distribution for the face landing down = 4/15
<h3>What is the probability?</h3>The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
<h3>According to the given information:</h3>If we assign 1 probability x
then 2 has probability 1/2 x.
Similarly,
then 3 has probability = 1/2((1/2)*x) = (1/4)*x
so
then 4 has probability = 1/2((1/4)*x) = (1/8)*x
These probabilities need to sum to 1.
Hence:
or equivalently
(15/8)*x = 1
x = 8/15
the probability distribution for the face landing down = (1/2)*(8/15)
= 8/30
= 4/15
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I understand that the question you are looking for is:
A tetrahedral die has four faces, numbered 1-4. If the die is weighted in such a way that each number is twice as likely to land facing down as the next number (1 twice as likely as 2, 2 twice as likely as 3, and so on) what is the probability distribution for the face landing down?