During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that: the probability of event A occurring is 2/5. the probability of event B occurring is 4/5. the probability of the union of events A and B occurring is 1. the intersection of events A and B is an event with four desirable outcomes.In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.a)15, 20b)20, 19c)20, 16d)16, 18e)19, 16Correct answer is option 'C'. Can you explain this answer?

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During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that:

the probability of event A occurring is 2/5.
the probability of event B occurring is 4/5.
the probability of the union of events A and B occurring is 1.
the intersection of events A and B is an event with four desirable outcomes.

In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.

a)
15, 20
b)
20, 19
c)
20, 16
d)
16, 18
e)
19, 16

Correct answer is option 'C'. Can you explain this answer?

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During a lottery, several lots are to be selected. A is the event that...

The probability of the union of events A and B occurring equals the probability of event A occurring, plus the probability of event B occurring, minus the probability of the intersection of events A and B occurring. You know the value of all of these probabilities except the last one. The probability of the intersection of events A and B equals the number of desirable outcomes in the intersection of A and B, which is 4, over the number of total outcomes in the lottery—let’s call that t. Thus, you have:

P (AUB) = P (A) + P (B) - P (A∩B)

So the correct answer in the first column = the total number of lots is 20.
Next, let the number of desirable outcomes in event B be b. In that case, you have:

So the correct answer in the second column is: the number of desirable outcomes in event B is 16.

Answered by Talent Skill Learning · View profile

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During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that: the probability of event A occurring is 2/5. the probability of event B occurring is 4/5. the probability of the union of events A and B occurring is 1. the intersection of events A and B is an event with four desirable outcomes.In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.a)15, 20b)20, 19c)20, 16d)16, 18e)19, 16Correct answer is option 'C'. Can you explain this answer?

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During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that: the probability of event A occurring is 2/5. the probability of event B occurring is 4/5. the probability of the union of events A and B occurring is 1. the intersection of events A and B is an event with four desirable outcomes.In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.a)15, 20b)20, 19c)20, 16d)16, 18e)19, 16Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that: the probability of event A occurring is 2/5. the probability of event B occurring is 4/5. the probability of the union of events A and B occurring is 1. the intersection of events A and B is an event with four desirable outcomes.In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.a)15, 20b)20, 19c)20, 16d)16, 18e)19, 16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During a lottery, several lots are to be selected. A is the event that a certain subset of these lots is selected, and B is the event that another subset of these lots is selected, such that: the probability of event A occurring is 2/5. the probability of event B occurring is 4/5. the probability of the union of events A and B occurring is 1. the intersection of events A and B is an event with four desirable outcomes.In the following table, identify the total number of lots and the number of desirable outcomes in event B. Make only one selection in each column.a)15, 20b)20, 19c)20, 16d)16, 18e)19, 16Correct answer is option 'C'. Can you explain this answer?.

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