SOLUTION: Four cards are randomly selected, with replacement, from a standard deck of cards. Determine the probability that all the selected cards are hearts. I'm taking a stats class thi

Algebra ->  Probability-and-statistics -> SOLUTION: Four cards are randomly selected, with replacement, from a standard deck of cards. Determine the probability that all the selected cards are hearts. I'm taking a stats class thi      Log On


   



Question 757779: Four cards are randomly selected, with replacement, from a standard deck of cards. Determine the probability that all the selected cards are hearts.
I'm taking a stats class this summer and our teacher gave us the answers but I still can't figure out the problem. The answer is 0.003906 . Thanks!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The probablility of two independent events is the product of the individual probabilities. You have 4 independent events, each of which has a probability of 1/4 (you want one out of four suits, and the probability remains constant because of replacement). Just do the arithmetic.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism