Question 878508: A few questions: Any help with these problems will be appreciated.
#1 An algebra class has 30 students - 17 girls and 13 boys.
If a four student group is chosen at random, what is the probability that it will consist of all boys?
I thought it would be 30C4 but the "all boys" part throws me off.
#2 Six cards are dealt from a standard deck of playing cards (without replacement).
What is the Probability that all six cards are face cards?
What is the probability that the group of cards has exactly 3 kings?
What is the Probability that the group of cards has at least 4 hearts?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! # 1
30 C 4 is the number of ways to pick 4 people from a pool of 30 (17 + 13 = 30)
There are 13 boys, so there are 13 C 4 ways to pick 4 boys only
The probability is (13 C 4)/(30 C 4)
You can leave it like that or evaluate that with a calculator.
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# 2
I'll do the first part to get you started
There are 52 C 6 ways to select 6 cards
There are 12 C 6 ways to have all 6 face cards (3 faces J,Q,K and 4 suits: 3*4 = 12 face cards total)
What is the Probability that all six cards are face cards?
(12 C 6)/(52 C 6)
again you can leave that as is or use a calculator to evaluate
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I'll let you finish up the rest of #2
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