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

Step-by-step 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

Answer 2

Answer: $\dfrac{1}{8}$

Step-by-step 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 :-

$2\times2\times2=8$

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

$\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{1}{8}$

Hence, the probability of the code PCP = $\dfrac{1}{8}$