Respuesta :
In the group of 140 adults, the probability of an adult chosen at random from those who watch tennis does not play a sport is 0.277.
What is the probability fo succes and failure of an event?
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1.Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event.
In a group of 140 adults,
- 92 watch tennis,
- 81 play a sport
- 40 do neither.
The probability of the adults who watch tennis is,
[tex]P_t=\dfrac{92}{140}\\P_t=\dfrac{23}{35}\\[/tex]
The probability that an adult does not play a sport is,
[tex]P_s=\dfrac{140-81}{140}\\P_s=\dfrac{59}{140}\\[/tex]
The probability that an adult chosen at random from those who watch tennis does not play a sport is,
[tex]P=\dfrac{23}{35}\times\dfrac{59}{140}\\P=0.277[/tex]
Hence, in the group of 140 adults, the probability of an adult chosen at random from those who watch tennis does not play a sport is 0.277.
Learn more about the probability here;
https://brainly.com/question/24756209
