MYP Standard Mathematics 6 Sets, Logic and Probability Questionbank

Which set-builder notation correctly represents the set $K = \{1, 4, 9, 16, 25\}$?

True or False: If three events $A$, $B$, and $C$ are mutually exclusive and cover the entire sample space $S$, then their probabilities must sum to 1.

It stays exactly the same as it was after 10 trials

It fluctuates more wildly away from the theoretical probability

It always becomes exactly equal to the theoretical probability

It tends to get closer to the theoretical probability

mutually exclusive

independent

subsets of each other

equally likely

$1/4$

$1/16$

$1/32$

$1/8$

$\{x \mid x = n^2, n \in \mathbb{N}, n < 5\}$

$\{x \mid x = n^2, n \in \mathbb{Z}^+, 1 \le n \le 5\}$

$\{x \mid x = n^2, n \in \mathbb{Z}, -5 \le n \le 5\}$

$\{x \mid x = 2n, n \in \mathbb{N}, 1 \le n \le 5\}$

True

False