Find the product: (5/3)(2/3)(2/1)
1 answer:
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Answer:
0.2333 = 23.33% probability that both of them have the secret decoder ring
Step-by-step explanation:
The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
45 boxes, which means that
22 have the secret decoder ring, which means that
Two boxes, which means that
What is the probability that both of them have the secret decoder ring?
This is P(X = 2). So
0.2333 = 23.33% probability that both of them have the secret decoder ring
Answer:
See below
Step-by-step explanation:
π, pronounced as <em>pi</em> is the ratio between 2πr which is circumference to 2r which is diameter.
In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.
π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as <u>π radians</u> or <u>π rad</u> which is equivalent to 180°.
Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.
In calculus, you need π to do solid of revolution method which is:
In trigonometry, you need it for measurement/angle.
So anything that’s related to revolution, rotation or related to circle must require π at least.
In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.
Let me know if you have any questions!