Suppose you have a dataset of students' ages and their corresponding heights. The table below shows the number of students in different age groups and their average heights: Calculate the weighted average height of the students in this dataset.

A) 148.75cm

B) 123.50cm

C) 83.25cm

D) 60.00cm

If a factory produces 500 units of a product every hour, what fraction of the first 24,000 units is produced in the first 2 days?

A) \$1/6\$

B) 1

C) \$1/(10)\$

D) \$1/(12)\$

If you randomly select two cards from a standard deck of 52 playing cards, what is the probability that both cards are aces?

A) \$1/(74)\$

B) 74

C) \$1/(221)\$

D) 221

In a box of marbles, there are 15 red marbles, 10 green marbles, 20 blue marbles, and 5 yellow marbles. If one marble is chosen at random, what is the probability of selecting a marble that is either red or green?

A) \$1/3\$

B) \$1/5\$

C) \$1/(11)\$

D) \$1/2\$

In the Monty Hall problem, a contestant is asked to choose one of three doors. Behind one door is a car, and behind the other two are goats. After the contestant makes their choice, the host, who knows what’s behind each door, opens one of the remaining doors to reveal a goat. The contestant is then given the option to stick with their original choice or switch to the other unopened door. What is the probability of winning the car if the contestant switches doors?

A) \$1/3\$

B) \$2/3\$

C) \$3/1\$

D) \$3/2\$