300 students were asked about their favourite sport. It was concluded that cricket was the favourite sport of 140 students, football was the favourite sport of 105 students and volleyball was the favourite of 55 students. If a student is picked randomly among all students, what is the probability that the student's favourite sport is neither cricket nor volleyball?
300 students were asked about their favourite sport. It was concluded that cricket was the favourite sport of 140 students, football was the favourite sport of 105 students and volleyball was the favourite of 55 students. If a student is picked randomly among all students, what is the probability that the student's favourite sport is neither cricket nor volleyball? Correct Answer 7/20
Given:
Total students = 300
Student's favourite is cricket = 140
Student's favourite is football = 105
Student's favourite is volleyball = 55
Formula Used:
Probability = Number of favourable events/Total number of events
Calculation:
Number of favourable events = Student's favourite sport is neither cricket nor volleyball
Student's favourite sport is neither cricket nor volleyball = Student's favourite sport is football
Number of favourable events = 105
Total number of events = 300
Probability = 105/300
⇒ 7/20
∴ The probability that the student's favourite sport is neither cricket nor volleyball is 7/20
