De kans dat 1 cijfer niet gekozen wordt is
.Dat dit dus vijf keer na elkaar gebeurt is dus (
)k|
Uit de verzameling {1, 2, 3, 4, 5}
kiest men willekeurig k cijfers
(herhaling toegelaten). Wat is de kans dat het cijfer 1 NIET zal gekozen worden ? |
A. \(\boldsymbol{\frac {1} {k} }\) |
|---|---|
| B. \(\boldsymbol{\frac {k-1} {k} }\) | |
| C. \(\boldsymbol{( \frac 15 )^{\,k} }\) | |
| D. \(\boldsymbol{(\frac 45 )^{\,k}} \) | |
| E. \(\boldsymbol{\frac {1} {5} }\) | |
| F. \(\boldsymbol{1-\frac {4^k} {5^k} }\) |
[ 6-3653 - op net sinds 18.3.2020-(E)-7.9.2025 ]
|
From the set {1, 2, 3, 4, 5}, k digits are chosen at random (repeats allowed). What is the probability that the digit 1 will NOT be chosen? |
A. \(\boldsymbol{\frac {1} {k} }\) |
|---|---|
| B. \(\boldsymbol{\frac {k-1} {k} }\) | |
| C. \(\boldsymbol{( \frac 15 )^{\,k} }\) | |
| D. \(\boldsymbol{(\frac 45 )^{\,k}} \) | |
| E. \(\boldsymbol{\frac {1} {5} }\) | |
| F. \(\boldsymbol{1-\frac {4^k} {5^k} }\) |
.)k