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Nov 2018 p61 q7
2546
In a group of students, the numbers of boys and girls studying Art, Music and Drama are given in the following table. Each of these 160 students is studying exactly one of these subjects.
Art
Music
Drama
Boys
24
40
32
Girls
15
12
37
Three students are chosen at random. Find the probability that exactly 1 is studying Music and exactly 2 are boys.
Solution
To find the probability that exactly 1 student is studying Music and exactly 2 are boys, we consider two scenarios:
1 boy studying Music, 1 boy not studying Music, and 1 girl not studying Music.