Question 878171
9M: 3R,3W, 3G
p(at least one red)= P(no red) = 6/9 = {{{2/3}}}
p(same color) = {{{ (3/9)(2/8) + (3/9)(2/8) + (3/9)(2/8) = 18/72 = 2/8= 1/4}}}
a)P(A|B) = P(A and B)/P(B)= (6/72)/(1/4) = 24/72 = 4/12 = 1/3
P(A and B) = P(B)P(A|B) = (1/4)(1/3)= 1/12
b)P(A or B) = P(A) + P(B) - P(A and B) = {{{2/3 + 1/4 - 6/72 = 8/12 + 3/12 - 1/12 = 10/12 = 5/6}}}