SOLUTION: there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?

Question 663335: there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?
-------
# of ways to succeed: 11C2 + 4C2 = 55+6 = 61
---
# of possible outcomes: 15C2 = 105
----
P(2 men or 2 women) = 61/105
=============================
Cheers,
Stan H.
RELATED QUESTIONS
There are 10 people at a party, five men and five women. If four people are selected at... (answered by stanbon)

If there are 8 women and 4 men in a room and they put their names in a hat and then 3... (answered by ikleyn)

There are 7 men and 3 women in a room. Two of these 10 people are selected at random. If... (answered by Theo)

An executive committee consists of 11 members, 6 men and 5 women. 3 members are selected... (answered by stanbon)

Two people are selected at random from a group of 8 women and 10 men. Find the... (answered by stanbon)

A mathematics department consists of eleven men and six women. Six mathematics faculty... (answered by ewatrrr)

The members of an organization are 10 men and 11 women. What is the probability that a... (answered by stanbon)

An executive committee consists of 10 members: 4 women and 6 men. Four members are... (answered by jorel1380)

A jury consists of five men and seven women. Four are selected at random for an... (answered by ewatrrr,greenestamps)