a bag contains 5 red balls ,3 black balls and 5 white balls. three balls are drawn at random. the probability tat they are not of same colour
Answers
Answer:
To find the probability that they are not of same colour
Given ,
Bag Contains 5 red balls , 3 black balls and 4 white balls
First let's Find the Probability that they are of same colour .
Probability of drawing 5 red balls is
P
1
=
(
3
12
)
(
3
5
)
Now , Probability of drawing 3 black balls is
P
2
=
(
3
12
)
(
3
3
)
Also , Probability of drawing 4 white balls is
P
3
=
(
3
12
)
(
3
4
)
Hence, Total Probability that they are of same colour . =
P=
(
3
12
)
(
3
5
)
+
(
3
12
)
(
3
3
)
+
(
3
12
)
(
3
4
)
P=
(
3
12
)
(
3
5
)+(
3
3
)+(
3
4
)
Now, Probability that they are not of same colour can be calculated as
P=1−[
(
3
12
)
(
3
5
)
+
(
3
12
)
(
3
3
)
+
(
3
12
)
(
3
4
)
]
P=1−[
(
3
12
)
(
3
5
)+(
3
3
)+(
3
4
)
]
P=1−[
220
5×2+1+4
]
P=1−[
220
15
]
P=
44
41
Step-by-step explanation: