SOLUTION: Probability -- Help! Is this an independent event problem or conditional probability; I am confused, please help. ************************ Eleven cards are marked with the numbe

Algebra ->  Test -> SOLUTION: Probability -- Help! Is this an independent event problem or conditional probability; I am confused, please help. ************************ Eleven cards are marked with the numbe      Log On


   



Question 205506: Probability -- Help! Is this an independent event problem or conditional probability; I am confused, please help.
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Eleven cards are marked with the numbers 1 - 11, shuffled, and 4 cards are then drawn.
a) How many different 4-card hands are possible?
b) How many different 4-card hands contain a number less than 7?
Thanks!

Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a formula to compute the total number of all possible combinations where n is the number of choices and k is the number of things chosen at a time
n%21%2Fk%21%28n-k%29%21
n=11 11 cards
k=4 4-card hands
plug them in and the answer is 330
a)330 different hands
b)325 defferent hands hold them
on b i used a program that lists all the possble combinations and them i used excel and found that only 5 that had no number less than 7
7 8 9 10
7 8 9 11
7 8 10 11
7 9 10 11
8 9 10 11