Question at-a-c
At a conference, there are a total of attendees. Each attendee is assigned to either group A, group B, or group C. If one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is and the probability of selecting an attendee who is assigned to group B is . How many attendees are assigned to group C?
At a conference, there are a total of 275 attendees. Each attendee is assigned to either
Hard-difficulty · SAT Math · Probability & Conditional Probability — Simple probability. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is . It's given that there are a total of attendees and each attendee is assigned to either group A, group B, or group C. It's also given that if one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is and the probability of selecting an attendee who is assigned to group B is . It follows that there are , or , attendees who are assigned to group A and , or , attendees who are assigned to group B. The number of attendees who are assigned to group C is the number of attendees who are not assigned to group A or group B. In other words, the number of attendees who are assigned to group C is the total number of attendees minus the number of attendees who are assigned to group A and group B. Therefore, the number of attendees who are assigned to group C is , or .
More Probability & Conditional Probability practice questions
- The table summarizes the distribution of color and shape for 100 tiles of equal
- Each vertex of a 14 -sided polygon is labeled with one of the 14
- A band with 45 members has 11 members who play saxophone. If one band
- Prices of 14 Different Cars Type of car Priced at no more than $25,000
- The table below shows the number of state parks in a certain state that
- Number of Contestants by Score and Day 5 out of 5 4 out of
- Blood type Rhesus factor A B AB O 33 9 3 37 7 2
- For a science project, Anka recorded whether it rained each weekday and weekend day
Browse all Problem-Solving and Data Analysis practice questions or return to the full SAT question bank.
