SOLUTION: This questions has two parts: Part 1: The probability of randomly drawing a diamond from a deck of cards is .25%. If you perform an experiment where you draw a card, note the suit

Algebra ->  Probability-and-statistics -> SOLUTION: This questions has two parts: Part 1: The probability of randomly drawing a diamond from a deck of cards is .25%. If you perform an experiment where you draw a card, note the suit      Log On


   



Question 355328: This questions has two parts:
Part 1: The probability of randomly drawing a diamond from a deck of cards is .25%. If you perform an experiment where you draw a card, note the suit, and return it to deck a total of 12 times, what is the probability you drew exactly 14 diamonds?
Part 2: In the above problem, what would be the probability of getting your 1st diamond within no more than 3 draws?
Make sure to label which answer is which. Thank you so much for the help! I really appreciate it!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1) zero. You can't draw 14 diamonds with only 12 draws.
.
2)(3/4)^3=.4219 draw 3 consecutive non diamonds with replacement.
1-.4219=.5781 probability of getting your 1st diamond within no more than 3 draws.
.
Ed