SOLUTION: A box contains two black balls and three gold balls. Two
balls are randomly drawn in succession from the box.
a. If there is no replacement, what is the probability
that both ba
Algebra.Com
Question 204809: A box contains two black balls and three gold balls. Two
balls are randomly drawn in succession from the box.
a. If there is no replacement, what is the probability
that both balls are black?
b. If there is replacement before the second draw, what
is the probability that both balls are black?
I am having a hard time putting these into formulas. The answers I got are a. 2/3 and b. 2/5
Found 2 solutions by gerrylucas, stanbon:
Answer by gerrylucas(2) (Show Source): You can put this solution on YOUR website!
I believe the answer is a 1/20 and b 1/25
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box contains two black balls and three gold balls. Two
balls are randomly drawn in succession from the box.
a. If there is no replacement, what is the probability
that both balls are black?
Ans: P(black and black) = P(black)*P(black | black)
= (2/5)(1/4) = 2/20 = 1/10
-------------------------------------
b. If there is replacement before the second draw, what
is the probability that both balls are black?
Ans: P(black and black) = (2/5)(2/5) = 4/25
------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
A box contains two black balls and three gold balls. Two
balls are randomly drawn in... (answered by jim_thompson5910)
A box contains 2 black balls and 3 gold balls. 2 balls are randomly drawn in succession... (answered by rfer)
A box contains two black balls and three gold balls. Two balls are randomly drawn in... (answered by jim_thompson5910)
A box contains 20 balls out which 7 are white balls, 5 are black balls, 6 are
red balls... (answered by Boreal)
There are 4 white and 3 red balls in box B1, 4 red and 3 white balls in the box
B2. A... (answered by ikleyn)
There are only black and white balls in two boxes. if one ball is drawn from the first... (answered by cynshae)
A box contains 20 balls out which 7 are white balls, 5 are black balls, 6 are
red balls (answered by Edwin McCravy,ikleyn)
A box contains 12 red balls and 8 white balls. Two balls are drawn in succession. Find... (answered by flame8855)
a box contains 6 white 5 red and 4 black balls. find the probability of getting at least... (answered by stanbon)