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Sixty percent of the students at a certain school wear
Chapter 2, Problem 10P(choose chapter or problem)
Sixty percent of the 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?
Questions & Answers
QUESTION:
Sixty percent of the 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?
ANSWER:
Step 1 of 2
(a)
We are asked to find the probability that randomly chosen student is wearing a ring or a necklace.
Let be the event that a student wears a ring.
Let be the event that a student wears a necklace.
We need to find
The probability that a student wears a ring is,
The probability that a student wears a necklace is,
We have given that sixty percent of the students wear neither a ring nor a necklace.
The probability that a student wears neither a ring nor a necklace is,
The probability that randomly chosen student is wearing a ring or a necklace is,
Hence the probability that randomly chosen student is wearing a ring or a necklace is