SOLUTION: In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?

Algebra ->  Probability-and-statistics -> SOLUTION: In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?      Log On


   



Question 345173: In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a deck of cards, five are pulled at random. What is the probabilty that exactly three of them will be spades?
-----
# of ways to select 3 spades: 13C3
# of ways to select 2 non-spades: 39C2
-----
# of ways to select 5 cards randomly: 52C5
================
P(3spades and 2 other) = [13C3*39C2)/52C5 = 0.0815
================================
Cheers,
Stan H.