# Two balls are drawn from a bag containing 5 white and 7 black balls at random. What is the probability that they would be of different colours?

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If the first ball is replaced:

If the first ball is not replaced:

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There are

- both are white
- both are black
- one of each color

The probability of one of each color is

If the first ball is replaced:

However, if the first ball is NOT replaced, the probability changes for the second ball. There are fewer of one color and one ball less.

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#### Explanation:

#"assuming replacement of the first ball"#

#P("white")=5/12#

#P("white and black")#

#=5/12xx7/12=35/144#

#P("black and white")#

#=7/12 xx5/12 = 35/144#

Describe your changes (optional) 200