A bag contains 5 red, 6 blue and 7 black cards.If one card is drawn at random find the probability that it is black.
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Step-by-step explanation:
153
31
Given that
A bag contains 5 red, 6 white and 7 black balls
Total number of balls =5+6+7=18
Two balls are drawn ar random =
18
C
2
The probability that both balls are red
=
5
C
2
=
2×1×2!
5×4×3!
=10
The probability that both balls are black
=
7
C
2
=
2×1×5!
7×6×5!
=2!
The probability that both balls are red or both black =
8
C
2
10+21
=
2×1×16!
18×17×16!
31
P(A∪B)=
153
31
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