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find the number of outcomes in the complement of the given event. out o…

Question

find the number of outcomes in the complement of the given event.

out of 243 high school students in their junior year, 139 are right-handed.

Explanation:

Identify the sample space size

Using the Sample Space knowledge point, we identify the total number of outcomes in the universal set.
The total number of high school students in their junior year is:

$$ N(S) = 243 $$

Define the given event

Let \(E\) be the event that a randomly selected junior student is right-handed.
The number of outcomes in event \(E\) is:

$$ N(E) = 139 $$

Calculate the complement of the event

The complement of event \(E\), denoted as \(E'\) or \(E^c\), represents the event that a student is not right-handed.
We calculate the number of outcomes in the complement by subtracting the outcomes of the event from the total sample space:

$$ N(E^c) = N(S) - N(E) $$
$$ N(E^c) = 243 - 139 = 104 $$

Answer:

Find the number of outcomes in the complement of the given event.

Out of 243 high school students in their junior year, 139 are right-handed.

Answer: <blank>104</blank>