SOLUTION: A jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow marble. Two marbles are chosen (without replacement). Please show work. (a) What is the probability th

Question 1027435: A jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow marble. Two marbles are chosen (without replacement). Please show work.
(a) What is the probability that one will be green and the other red?
(b) What is the probability that one will be blue and the other yellow?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You could choose either green then red or red then green so calculate both ways and add.
Green first, red second:

.
.
.
Red first, green second:

.
.
.
So then,

.
.
.
.
Similarly,
Blue first, yellow second:

.
.
.
Yellow first, blue second:

.
.
.
So then,

RELATED QUESTIONS
a jar contains 100 marbles. there are 7 blue marbles, 4 green marbles, 46 red marbles,... (answered by edjones)

A bag contains 5 green marbles, 4 red marbles, 7 blue marbles, and 9 yellow marbles.... (answered by oscargut)

Dear tutor, Please help me with this question. A jar contains 10 blue marbles, 5... (answered by rothauserc)

A bag contains 8 red marbles, 7 blue marbles, 10 white marbles and 9 yellow marbles. You... (answered by ewatrrr)

A bag contains 6 red marbles, 4 blue marbles, 7 white marbles and 9 yellow marbles. You... (answered by edjones)

a jar contains 5 blue marbles, 4 red marbles, 2 yellow marbles, and 1 white marble, if... (answered by JulietG)

An urn contains 5 red marbles 9 blue marbles and 10 white marbles. two marbles are drawn... (answered by ewatrrr)

A box contains 9 red marbles, 8 green marbles, 5 yellow marbles, and 2 blue marbles. If 3 (answered by ewatrrr)