5. From the set of numbers $\{1,2,3, \ldots, 200\}$, one number is randomly selected. Calculate the probability that the following random event will occur $A=\{$ A number that is not divisible by 6 is selected \}.
5. A random event has 200 simple events.

Let $B=\{$ A number divisible by 6 is selected $\}=\{6,12,18, \ldots, 198\}$.

Set $B$ has $200: 6=33$ (remainder 2) members, so it holds that $P(B)=\frac{33}{200}$.

2 POINTS

$A=\{$ A number not divisible by 6 is selected $\}$.

$P(A)=1-P(B)=1-\frac{33}{200}=\frac{200-33}{200}=\frac{167}{200}$.

2 POINTS

TOTAL 4 POINTS