1) JPR, JRP, PJR, PRJ, RJP, RPJ
2) To start with there are 4 green marbles and a total of 6 marbles.
First drawing: p(green) = 4/6 = 2/3
He replaces the first marble, so for the second drawing he has again 4 green marbles out of a total of 6 marbles.
p(green) = 4/6 = 2/3
The combined probability is the product of the 2 probabilities.
p(green followed by green) = p(green) * p(green) = 2/3 * 2/3 = 4/9
3)
Total number of combinations of 3 different shirts and 2 pairs of pants is 3 * 2 - 6. You are interested in a single combination out of a possible 6.
p(white shirt & tan pants) = 1/6
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
3/4 is the reduced form, also 12/16 is each doubled
