Quantitative Literacy Practice Exam 2025 – Comprehensive All-in-One Guide to Exam Success!

To solve this problem, we need to determine the joint probability of two independent events: rolling a 2 with a fair six-sided die and drawing the queen of hearts from a standard deck of 52 playing cards.

First, we calculate the probability of rolling a 2. A fair six-sided die has six faces, each equally likely to land face up. Therefore, the probability of rolling a 2 is:

\[ P(\text{rolling a 2}) = \frac{1}{6} \]

Next, we calculate the probability of drawing the queen of hearts from a standard deck of 52 cards. There is exactly one queen of hearts in the deck, so the probability of drawing it is:

\[ P(\text{drawing the queen of hearts}) = \frac{1}{52} \]

Now, since these two events are independent (the outcome of one does not affect the other), we can find the joint probability by multiplying the probabilities of each event together:

\[ P(\text{rolling a 2 and drawing the queen of hearts}) = P(\text{rolling a 2}) \times P(\text{drawing the queen of hearts}) = \frac{1}{6} \times \frac{1