A bag contains four red counters and six black counters. A counter is picked at random from

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A bag contains four red counters and six black counters. A counter is picked at random from the. bag and not replaced. A second counter is then picked. Find the probability that

(a) the second counter is red, given that the first counter is red,

(b) both counters are red,

(c) the counters are of different colours.

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