A box contains 11 white balls and 10 red balls and another box contains 12 white balls and 13 red balls One is drawn from each what is the probability that they are in different colours?
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Answer:
Bag I= 3 White + 7 Red + 15 Black
Bag II= 10 White + 6 Red + 9 Black
Each beg contains total of 25 balls.
There are three cases for selection of a particular ball :
1. White ball from Bag I and Bag II=
25
3
×
25
10
2. Red ball from Bag I and Bag II=
25
7
×
25
6
3. Black ball from Bag I and Bag II=
25
15
×
25
9
∴ Total probability =
625
30
+
625
42
+
25
135
=
625
207
.
Hence, the answer is
625
207
.
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