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A bag contains 5 blacks balls and 3 red balls T... - JAMB Mathematics 2003 Question

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?
A
15/28
B
13/28
C
5/14
D
3/14
correct option: a

Black balls = 5

Red balls = 3/8

P(B) = 5/8, P(R) = 3/8

P( a Black and a Red) = BR + RB

= (5/8) * (3/7) * (3/8) * (5/7)

= (15/56) + (15/56)

= 30/56

= 15/28

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