Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
So let's do a vertical comparison here Apollo. I put these on the board in case other members have some shortcuts to add..
Scenario 1:
Set S consists of all non-negative even integers and all integers ending with 3 or 7. If an integer between 1 and 105, inclusive, is selected at random, approx, what is the closest approximation in % to the probability that this integer is a member of set S?
Scenario 2:
Set S consists of all non-negative even integers or all integers ending with 3 or 7. If an integer between 1 and 105, inclusive, is selected at random, approx, what is the closest approximation in % to the probability that this integer is a member of set S?
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Both scenarios you presented are of mutually exclusive sets. So for the first scenario the Probability of the intersection would be 0
The second scenario 19/105 + 52/105 since again they will not have an intersection you will not need to subtract the elements they have in common
Show more
Close, you forgot to add one (twice).
The first scenario is Mut Ex.
To get all multiples of 2 (inclusive) ---> 105-1/2 = 52
To get all numbers ending with 3 (inclusive) ---> 103-3/10+1 = 11
To get all numbers ending with 7 (inclusive) ---> 97-7/10+1 = 10
Now how could we rewrite this problem so that it wouldn't be Mut Ex?
Show more
Mutually exclusive events are events that can not be true at the same time. Like flipping of a coin can not result in head and tail at the same time. Its not possible to get a number that have odd unit digit and is even.
Set S = {All multiple of 5}
Set T = {All even numbers}
Set S and T are NOT mutually exclusive. A number could be even and multiple of 5 at the same time.
IMO the question 1 has no solution. Set S consists of ALL non negative even integers, which are infinite.
From definition of Prob beneficial outcomes, integers that are even or end with 3 or 7 in the interval 1-105, should be related to total outcomes or set S. Since set S is infinite the prob can not be calculated. If we assume that denominator is INF then the prob tends to 0[/i]
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.