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Directions: Directions: Select a single answer choice.
Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?
- a)0.5
- b)0.6
- c)0.7
- d)0.8
- e)0.9
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: Directions: Select a single answer choice.Q. Of the 700 m...
Probability of selecting a lawyer member
Out of the 700 members, there are 120 lawyers. So, the probability of selecting a lawyer member in the first pick is 120/700.
Probability of not selecting a lawyer member
To find the probability of not selecting a lawyer member, we need to subtract the probability of selecting a lawyer member from 1.
P(Not selecting a lawyer) = 1 - P(Selecting a lawyer) = 1 - (120/700) = 1 - 0.1714 = 0.8286
Probability of not selecting a lawyer member in both picks
Since we are selecting two members, we need to find the probability of not selecting a lawyer member in both picks.
Since the events are independent (the selection of one member does not affect the selection of another member), we can multiply the probabilities.
P(Not selecting a lawyer in both picks) = P(Not selecting a lawyer) * P(Not selecting a lawyer)
= 0.8286 * 0.8286
= 0.686
Rounding this to the nearest tenth, we get 0.7.
Therefore, the closest probability that neither of the members selected will be a lawyer is 0.7.
Out of the 700 members, there are 120 lawyers. So, the probability of selecting a lawyer member in the first pick is 120/700.
Probability of not selecting a lawyer member
To find the probability of not selecting a lawyer member, we need to subtract the probability of selecting a lawyer member from 1.
P(Not selecting a lawyer) = 1 - P(Selecting a lawyer) = 1 - (120/700) = 1 - 0.1714 = 0.8286
Probability of not selecting a lawyer member in both picks
Since we are selecting two members, we need to find the probability of not selecting a lawyer member in both picks.
Since the events are independent (the selection of one member does not affect the selection of another member), we can multiply the probabilities.
P(Not selecting a lawyer in both picks) = P(Not selecting a lawyer) * P(Not selecting a lawyer)
= 0.8286 * 0.8286
= 0.686
Rounding this to the nearest tenth, we get 0.7.
Therefore, the closest probability that neither of the members selected will be a lawyer is 0.7.
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Directions: Directions: Select a single answer choice.Q. Of the 700 m...
The probability that neither of the members selected will be a lawyer is equal to the fraction
where the order of selection does not matter.
Since there are 120 members who are lawyers, there must be 700 − 120, or 580 members who are not lawyers. There are 580 ways of selecting a first member who is not a lawyer and 579 ways of selecting a second member who is not a lawyer. Multiplying these two numbers gives the number of ways to select 2 members who are not lawyers. However, in the (580)(579) ways, each group of 2 members who are not lawyers is counted twice. You can see this by considering 2 members, A and B. The 2 members can be chosen in 2 ways: A first, followed by B, and B first, followed by A. To adjust for double counting, you need to divide (580)(579) by 2.
Similarly, the number of ways 2 members can be selected from among the 700 members is (700)(699) divided by 2. Thus, the desired probability is
Since the answer choices are all tenths, you need to approximate the value of this fraction to the nearest tenth. There are several ways to do this approximation. One way is to use your calculator to convert the fraction to a decimal and round the decimal to the nearest tenth.
Another way is to approximate the value of the fraction as follows.
Either way, the answer choice that is closest to the value of the fraction is 0.7. The correct answer is Choice C.
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Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer?
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Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer?.
Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Directions: Select a single answer choice.Q. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?a)0.5b)0.6c)0.7d)0.8e)0.9Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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