Question

a modified deck of cards contains only the cards 9, 10, jack, queen, king and ace of each of the 4 suits. so 24 cards in the deck. what is the probability of randomly drawing a 9 or a 10.

Explanation:

Step1: Determine number of favorable outcomes

There are 4 cards of 9 and 4 cards of 10, so the number of favorable outcomes is $4 + 4=8$.

Step2: Determine total number of outcomes

The total number of cards in the deck is 24.

Step3: Calculate probability

The probability $P$ is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $P = \frac{8}{24}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$