If Rick draws a 10 from a deck of cards multiple times, what is the probability he will draw a 10 next?

To determine the probability of Rick drawing a 10 from a standard deck of cards, we need to consider the composition of the deck. A standard deck consists of 52 cards, and among these, there are 4 tens—one from each suit (hearts, diamonds, clubs, and spades).

When calculating the probability of drawing a 10, the relevant formula is:

[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} ]

In this scenario, the number of favorable outcomes (drawing a 10) is 4, and the total number of possible outcomes (the total number of cards) is 52. Therefore, the probability that Rick will draw a 10 next is calculated as:

[ \text{Probability} = \frac{4}{52} = \frac{1}{13} ]

This demonstrates that the probability of Rick drawing a 10 next, independent of his previous draws, is indeed ( \frac{1}{13} ). This probability remains constant with each draw, as long as the situation is considering a fresh deck or removing the influence of past draws, which is a fundamental principle of independent events in probability.