Respuesta :
5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
The probability that both of them play soccer is 2/9 if in a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Total number of students in a class = 10
Number of students who play soccer = 5
Total outcomes = Number of ways selecting any 2 students out of these 10
[tex]= \rm _{10}^{}\textrm{C}_2[/tex]
= 45
Total favorable outcomes = Number of ways selecting any 2 students
out of these 5
[tex]= \rm _{5}^{}\textrm{C}_2[/tex]
= 10
Now the probability:
= 10/45
= 2/9
Thus, the probability that both of them play soccer is 2/9 if in a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students.
Learn more about the probability here:
brainly.com/question/11234923
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