Ben has 100 toys. 43 of them are new, 15 are his favorites; 1 is new and favorite. Ben is going to give away all the toys that are neither new nor favorite. How many toys will he give away?

Question

Mathematics

Meaghan

15 November, 16:14

Ben has 100 toys. 43 of them are new, 15 are his favorites; 1 is new and favorite. Ben is going to give away all the toys that are neither new nor favorite. How many toys will he give away?

+2

Answers (1)

Know the Answer?

Jonathan Bentley · Answer 1

43

Step-by-step explanation:

since 43 of them are new, and 15 of them are his favorite, that means that 43+15 58 are new and favorite. In addition, we have one that is both, and since

P (A or B) = P (A) + P (B) - P (A and B)

we have 43+15-1 = 57.

100-57 is 43.