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 ->  Probability-and-statistics -> 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      Log On


   

Question 352802: 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?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2 black + 3 gold = 5 balls total

a)

P(Both Black) = P(Black)*P(Black) = (2/5)*(1/4) = 2/20 = 1/10

b)

P(Both Black) = P(Black)*P(Black) = (2/5)*(2/5) = 4/25