Question

72 students choose to attend one of three after school activities: football, tennis or running.

Answer 1

Answer:

P = 0,3749       or    P = 37,49 %

Step-by-step explanation:

17 girls play football  10 boys do   ⇒ 27 students

24 girls running  3 boys do   ⇒ 27 students

then  6 girls play tennis  and  12 boys do ⇒ 18 students

Probability of student running P is equal to P1 (probability of student (boy) running ) plus P2 (probability of student (girl) running )

P = P1  +  P2

P1 (probability of girl running ) is equal to choose a girl out of 72 students, times the probability of the girl running

Probability of girl   47/72      =   0,6528

Probability of running is equal to 24/47  = 0,5106

Then the probability of girl running is equal to

P2 = 0,6528*0,5106  =  0,3333    or   33,33 %

P2 = 0,3333    or     P2 = 33,33 %

Now we have 72 students 25 boys, then the probability of choosing a boy is  = 25/72    =  0,3472

And the probability of running is 3/25 = 0,12

Then

P1 = 0,3472*0,12

P1 = 0,04166   and

P = P1 + P2

P = 0,04166 + 0,3333

P = 0,3749       or    P = 37,49 %