In a communication system, each message(1 or 0) is transmitted three times in order to reduce the probability of error. The detection is based on the majority rule at the receiver. If Pc is the probability of bit error, the probability of error for this communication channel will be

A

$$ 3Pc^{2}-2Pc^{3}$$

B

$$1-Pc^{2}-Pc^{3}$$

C

$$Pc^{3}$$

D

$$ Pc^{2}(1-Pc)$$