SOLUTION: There are five peolpe in a room, three men and two women. They leave the room one by one, in random order, until the room is empty. What is the probability that: a)The first perso

Algebra ->  Probability-and-statistics -> SOLUTION: There are five peolpe in a room, three men and two women. They leave the room one by one, in random order, until the room is empty. What is the probability that: a)The first perso      Log On


   



Question 369928: There are five peolpe in a room, three men and two women. They leave the room one by one, in random order, until the room is empty. What is the probability that:
a)The first person to leave the room is a woman.
b)The firs three people to leave the room are all men.

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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are five people in a room, three men and two women. They leave the room one by one, in random order, until the room is empty. What is the probability that:
a)The first person to leave the room is a woman.
Ans: 2/5
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b)The first three people to leave the room are all men.
Ans: 3C3/5C3 = 1/(5*4/1*2) = 1/10
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Cheers,
Stan H.