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help with counting

0
125
4

There are 120 people in a sport centre.78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the
probability they use all the facilities?

Mar 27, 2021

#1
+1

See image below:

Number using at least two facilities  = 7+9+12+15 = 43

9 use all three

Given that a randomly selected person uses at least two facilities, what is the
probability they use all the facilities?       9/43

Mar 27, 2021
#2
+311
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Nice work!

WillBillDillPickle  Mar 27, 2021
#3
+336
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Yep! The chart is a great touch :D

-wolfiechan

wolfiechan  Mar 27, 2021
#4
+336
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Well, my answer was 9/61 9 ways out of the 61 ways of using 2. 21+16+24= 61. the hesitation comes from wondering why so much other irrelevant info? Like so much 0-0

-wolfchuuuuuu

Mar 27, 2021