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A three-character code uses the letters C and P. Either of the letters may be repeated. Find the probability of the code PCP.

User Camarero
by
7.9k points

2 Answers

4 votes

Answer:
(1)/(8)

Explanation:

Given: A three-character code uses the letters C and P.

If repetition is allowed then the total number of ways to make the three letter character code using two letters C and P is given by :-


2*2*2=8

Since the PCP is one of the character code, therefore , the probability of the code PCP is given by :-


\frac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=(1)/(8)

Hence, the probability of the code PCP =
(1)/(8)

User Michael Moeller
by
7.6k points
1 vote

Answer:

1/8

Explanation:

When there are two possiblities for each of 3 positions, the number of possible codes is 2^3 = 8. Your code is one of those, so its probability of occurrence is 1/8.

_____

CCC, CCP, CPC, CPP, PCC, PCP, PPC, PPP

User Marventus
by
8.1k points
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