What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
2 answers:
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Answer:
Part A) The probability is closer to 0, because is less than 50%
Part B) The probability is closer to 1, because is greater than 50%
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?
In this problem we have
x------> is the area of the black circle
y------> is the total area of the square target
<em>Find the area of black circle</em>
<em>Find the total area of the square target</em>
Find the probability
Convert to percentage
The probability is closer to 0, because is less than 50%
Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?
In this problem we have
x------> is the area of the white portion of the target
y------> is the total area of the square target
<em>Find the area of the white portion</em>
The area is equal to the area of the square minus the area of the circle
Find the probability
Convert to percentage
The probability is closer to 1, because is greater than 50%