A box contains ten cards labeled J, K, L, M, N, O, P, Q, R, and S. One card will be randomly chosen. What is the probability of choosing a letter from N to Q?

To determine the probability of choosing one of the letters from N to Q from the box, we must first understand what probability means. Probability is the measure of the likelihood that an event will occur. It is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Now, let's count the total number of possible outcomes for our event. There are ten cards, each one representing a unique outcome. Therefore, the total number of possible outcomes is 10.

Next, let's identify the favorable outcomes, which, according to the question, are the letters from N to Q. These are N, O, P, and Q - making a total of 4 favorable outcomes.

Hence, the probability of selecting a card with a letter from N to Q is the number of favorable outcomes over the total number of possible outcomes.

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes Probability = 4 / 10

To simplify this fraction, we can divide the numerator and the denominator by the greatest common divisor (2 in this case):

Probability = 2 / 5

So, the probability of randomly selecting a card with a letter from N to Q is 2/5.