Answer:
Let number of friends Olive has = S
She wants to select a friend for a trip.
1. Probability of selecting a friend out of S friends
![=\frac{\text{Total favorable Outcome}}{\text{Total possible outcome}}\\\\=(1)/(S)](https://img.qammunity.org/2020/formulas/mathematics/college/nvsrybwxwkzqvnq9x0cwazgtk99baq1oml.png)
Ok, suppose out of S friends P are male and Q are female.
S=P +Q
2. Probability of selecting 1 male friend out of S friends which includes P male and Q female
![\frac{{}_(1)^(P)\textrm{C}}{S}](https://img.qammunity.org/2020/formulas/mathematics/college/7djknu3acyv6docfcbvtywl91uhnij8rch.png)
3. Probability of selecting 1 Female friend out of S friends which includes P male and Q female
![\frac{{}_(1)^(Q)\textrm{C}}{S}](https://img.qammunity.org/2020/formulas/mathematics/college/m1nl7h9b4a6jqsog8s8mu1m8q0c1wm0rwj.png)
These three are random methods.Other methods of finding probability of choosing a friend can be non Random.