Respuesta :
- The probability that a senior wears a necklace, P(N) = 3/5
- The probability that a senior wears a ring, P(R) = 2/5
- The probability that a senior wears a necklace and a ring, P(N and R) = 1/4
- The probability that a senior wears a necklace or a ring, P(N or R) = 3/4
Given,
Number of students in a high school senior class = 500
Number of students that regularly wear a necklace = 300
Number of students that regularly wear a ring = 200
Number of students that wear a necklace and a ring = 125
Probability = Number of favorable outcomes/Total of possible outcomes
Now we have to determine,
- The probability that a senior wears a necklace.
P(N) = [tex]\frac{300}{500} =\frac{3}{5}[/tex]
- The probability that a senior wears a ring.
P(R) = [tex]\frac{200}{500} =\frac{2}{5}[/tex]
- The probability that a senior wears a necklace and a ring.
P(N and R) = [tex]\frac{125}{500} =\frac{1}{4}[/tex]
- The probability that a senior wears a necklace or a ring.
P(N or R) = P(N) + P(R) - P(N and R)
P(N or R) = [tex]\frac{3}{5} +\frac{2}{5} -\frac{1}{4}[/tex]
P(N or R) = [tex]\frac{5}{5} -\frac{1}{4}[/tex]
P(N or R) = [tex]1-\frac{1}{4}[/tex]
P(N or R) =[tex]\frac{3}{4}[/tex]
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Corrected question:-
There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to school, 200 regularly wear a ring, and 125 regularly wear a necklace and a ring. Using this information, answer each of the following questions.
Let N be the event that a randomly selected senior regularly wears a necklace and R be the event that a
randomly selected senior regularly wears a ring.
What is P(N), the probability that a senior wears a necklace?
What is P(R), the probability that a senior wears a ring?
What is P(N and R), the probability that a senior wears a necklace and a ring?
What is P(N or R), the probability that a senior wears a necklace or a ring?
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