Question

In a survey of students, 80% were girls and 20% were boys. of the girls surveyed, 40% were wearing sneakers. if a surveyed students is selected at random, what is the probability the student is a girl wearing sneakers?

Answer 1

`(8)/(25)`

Explanation:

probability of selecting a girl from students is
`(4)/(5)`

probability of girl wearing sneaker from girls is
`(4)/(10)` or
`(2)/(5)`

hence, probability of selecting a girl wearing a sneaker will be,

⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls

⇒ probability =
`((4)/(5))( (2)/(5))`

⇒ probability =
`(8)/(25)`