Question #30db8f77 - SAT Suite Question Bank

ID: 30db8f77

Modded SAT Question Bank by Abdullah Mallik

At a conference, there are a total of $275$ 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 $0.44$ and the probability of selecting an attendee who is assigned to group B is $0.24$ . How many attendees are assigned to group C?

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Correct Answer: 88

Rationale

The correct answer is $88$ . It's given that there are a total of $275$ 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 $0.44$ and the probability of selecting an attendee who is assigned to group B is $0.24$ . It follows that there are $0.44 left parenthesis 275 right parenthesis$ , or $121$ , attendees who are assigned to group A and $0.24 left parenthesis 275 right parenthesis$ , or $66$ , 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 $275 - 121 - 66$ , or $88$ .

Question Difficulty: Medium