Question

Of the eight teachers at Jackson Middle School, 4 are female and 4 are male. Four of the teachers will be selected at random to lead a student field trip. What is the probability that all of the teachers selected will be female?

Answer 1

1/16

Explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Number of event/ Total outcome of sample space

Since there are 8 teachers in a school, the Total outcome = 8

If four of the teachers will be selected at random to lead a student field trip,

Probability of selecting first female teacher = 4/8 = 1/2

Probability of selecting 2nd female teacher = 4/8 = 1/2

Probability of selecting 3rd female teacher = 4/8 = 1/2

Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2

Probability that all of the teachers selected will be female = 1/16