Question

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

Answer 1

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)`

Answer 2

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.

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