# math

posted by .

A box contains three white balls and two red balls. A ball is drawn at random from the box and not replaced. Then a second ball is drawn from the box. Draw a tree diagram for this experiment and find the probability that the two balls are of different colors.

• math -

there are only 4 cases:
WW --- prob is (3/5)(2/4) = 6/20
WR --- prob is (3/5)(2/4) = 6/20
RW --- prob is (2/5)(3/4) = 6/20
RR --- prob is (2/5)(1/4) = 2/20

so different colours are : WR and RW = 6/20 + 6/20 = 12/20 = 3/5

(notice the 4 cases add up to 1)

## Similar Questions

1. ### math

A box A contains 9 red balls and 1 white ball. A box B contain 8 red balls and 1 white ball. A ball is to be taken at random from box A and put into box B. Then a ball is to be taken at random from box B. Find the probability that …
2. ### math

a. A box contains three white balls and two red balls. A ball is drawn at random from the box and not replaced. Then a second ball is drawn from the box. Draw a tree diagram for this experiment and find the probability that the two …
3. ### math

Suppose that a ball is drawn at random from the box (a), its color is recorded, and then the ball is put back in the box. Draw a tree diagram for this experiment and find the probability that the two balls are of different colors.
4. ### Math

A box contains 2 white calls and 7 pink balls. Two balls are drawn at random from the box. a) If the first ball is drawn and not replaced, what is the probability that two balls will be drawn of different colors?
5. ### statistics

A box contains 3 white and 5 black balls. Four balls are drawn at random "with replacement" from the box (i.e. selected balls are returned to the box and mixed, before drawing the next ball). Let X be the number of black balls drawn. …
6. ### Math

A bag contains 5 red balls and 4 white balls. Two balls are drawn at random from the bag. The first ball drawn is put back into the bag before the second ball is drawn. What is the probability that two balls drawn are both red?
7. ### pshs

three balls are drawn successively from a box containing 6 red balls,4white balls and 5 blue balls. find the probability that tare hey drawn in the order red,white and blue if each ball is replaced?
8. ### Math

A box contains some red balls and some blue balls. There are four more blue balls than red balls. A ball is removed at random, replaced and a second ball randomly removed. The probability that the two balls are different colours is …
9. ### math

Consider a box that contains 14 red balls,12 blue balls and 9 yellow balls.A ball is drawn at random and the color is noted and then put back inside the box.Then,another ball is drawn at random.Find the probability?
10. ### math 106

Two balls are drawn in succession, without replacement, out of a box containing 2 red and 5 white balls. What is the probability that the first ball drawn is red and the second ball drawn is also red?

More Similar Questions