Suppose you have a bag that contains 4 black, 3 green, 1 red, and 2 orange marbles. Find each probability?

Question

P(green) ???????

P(green or red) ??????/

P(not orange) ?????????

P(green or black) ?????????/

P(red, then orange when red is not replaced ??????

P(black) ??????????

Answer 1

green: 3 out of 10
green or red: 5 out of 10
not orange: 8 out of 10
green or black: 7 out of 10
red, then orange: 1 out of 10 * 2 out of 9
black: 4 out of 10

Answer 2

sum of the marbles = 4 + 3 + 1 + 2 = 10 marbles

P(green or red) = 3 / 10

P(not orange) = 8 / 10 = 4 / 5

P(green or black) = 7 / 10

P(red, then orange when red is not replaced = 1 / 10 x 2 / 9
= 2 / 90

P(black) = 4 / 10 = 2 / 5

Answer 3

P (green) = 30% (3/10)

P (green or red) = 40% (4/10)

P (not orange) = 80% (8/10)

P (green or black) = 70% (7/10)

P (black) = 40% (4/10)

P (red) = 10% (1/10)

P (orange if red is not replaced) = 22% (2/9)

Answer 4

P(green) = 3/(4+3+1+2) = 3/10

P(green or red) = (3+1)/10 = 4/10

P(not orange) = (4+3+1)/10 = 8/10 (or 1 - 2/10)

P(green or black) = (4+3)/10 = 7/10

P(red, then orange when red is not replaced) = 1/10 * 2/9.

P(black) = 4/10

Answer 5

P(green) 3/10 (30%)
P(green or red) 4/10 (40%)
P(not orange) 8/10 (80%)
P(green or black) 7/10 (70%)
P (red, then orange when red is not replaced) 1/45
P(black) 4/10 (40%)

Answer 6

total marbles=4+3+1+2=10

P(green)=3/10#

P(green or red)
=P(green)+P(red)
=3/10+1/10
=4/10
=2/5#

P(not orange)
=1-P(orange)
=1-2/10
=8/10
=4/5#

P(green or black)
=P(green) + P(black)
=3/10+4/10
=7/10#

P(red, then orange when red is not replaced )
=(1/10)(2/9)
=2/90
=1/45#

P(black)
=4/10
=2/5#

Answer 7

there are 10 marbles in all so all the fractions will be out of 10

p-green or red....3 green+1 red=4marbles out of 10 or 4/10 or 2/5
p-not orange-2 are orange so 10 minus 2 is 8 so 8 out of the 10 are not orange so 8/10 = 4/5
p-green or black...3green + 4 black + 7 out of 10 or 7/10
p-red...1 out of 10 so 1/10 and then if u dont replace that one red one you now have 9 marbles so there are 2 orange marbles out of the nine marbles left so....2/9
p-black is 4 black marbles out of 10....4/10 or 2/5

Answer 8

to find the probablity.. first, find the total number of marbels in the bag.. which is 10. Ok, to find P(green), you just put the number of green marbles over ten...
P(green) is 3/10
P(green or red) (you just add red and green and put it over ten)
P(green or red) is 4/10 which simplifies to 2/5
P(not orange) ... well, how many are not orange? 8!
P(not orange) is 8/10 which is 4/5.
P(green or black) green + black is 7.
P(green or black) is 7/10.
P(red, then orange when red is not replaced) ok... first, find red... which is 1/10. ok, then you want to find orange. well.. you have taken one marble out already (the red one). so now you only have 9 marbles left. you have 2 orange marbles in that 9 that is left, so the probablity of the orange is 2/9.
P(black) is 4/10... which is 2/5...


kinda confusing but i hope it helps!

Answer 9

First of all, total # of marbles: 10

P (green)- 3 in 10
P(green or red)-4 in 10, or 2 in 5
P (not orange)- 8 in 10, or 4 in 5
P(green or black)- 7 in 10
P(red, then orange when red is not replaced)- Red-1 in 10, orange- 2 in 9
P(black)-4 in 10, or 2 in 5.

Answer 10

3/10 green

3/4 green or 1/4 green

8/10 not orange

3/7 green or 4/7 black

2/3 orange

4/10 black
(not exactly sure, but here ya go) :D