SOLUTION: Four cards are drawn at random from a deck of playing cards. What is the probability that a. all are spades? (with replacement) b. they are of different kinds? (without rep

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Four cards are drawn at random from a deck of playing cards. What is the probability that a. all are spades? (with replacement) b. they are of different kinds? (without rep      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 606635: Four cards are drawn at random from a deck of playing cards. What is the probability that
a. all are spades? (with replacement)
b. they are of different kinds? (without replacement)
c. there is only one heart? (without replacement)
Answer by stanbon(57967) About Me  (Show Source):
You can put this solution on YOUR website!
Four cards are drawn at random from a deck of playing cards. What is the probability that
a. all are spades? (with replacement)
Ans: (1/4)^4
--------------------------
b. they are of different suits? (without replacement)
Ans: (13/52)(13/39)(13/26)(13/13)
---------------------------
c. there is only one heart? (without replacement)
Ans: [13C1*39C3]/52C4
==============================
Cheers,
Stan H.