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.
What is , the probability that a senior wears a necklace?
What is the probability that a senior wears a ring?
What is the probability that a senior wears a necklace and a ring?
What is the probability that a senior wears a necklace or a ring?
Answers
Answered by
14
Hii mate here senior wear necklace 300st
And only ring 200st
Nacklace and ring 125st
And only ring 200st
Nacklace and ring 125st
Answered by
4
it is just a example
Sixty percent of students at a certain school wear neither a ring nor a
necklace. Twenty percent wear a ring and 30 percent wear a necklace.
If one of the students is chosen randomly, what is the probability that
this student is wearing:
(a) a ring or a necklace?
(b) a ring and a necklace?
Solution: If R (N, resp.) is the event of wearing a ring (necklace, resp.),
then P(R) = 20%, P(N) = 30% and P((R ∪ N)
c
) = 60%; hence
(a) the event of wearing “either a ring or a necklace” is R ∪ N. The
probability of it is
P(R ∪ N) = 1 − P((R ∪ N)
c
) = 1 − 60% = 40%.
(b) the event of wearing “a ring and a necklace” is R ∩ N. So the
probability is
P(R∩N) = P(R)+P(N)−P(R∪N) = 20%+30%−40% = 10%.
Sixty percent of students at a certain school wear neither a ring nor a
necklace. Twenty percent wear a ring and 30 percent wear a necklace.
If one of the students is chosen randomly, what is the probability that
this student is wearing:
(a) a ring or a necklace?
(b) a ring and a necklace?
Solution: If R (N, resp.) is the event of wearing a ring (necklace, resp.),
then P(R) = 20%, P(N) = 30% and P((R ∪ N)
c
) = 60%; hence
(a) the event of wearing “either a ring or a necklace” is R ∪ N. The
probability of it is
P(R ∪ N) = 1 − P((R ∪ N)
c
) = 1 − 60% = 40%.
(b) the event of wearing “a ring and a necklace” is R ∩ N. So the
probability is
P(R∩N) = P(R)+P(N)−P(R∪N) = 20%+30%−40% = 10%.
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