a box contains ten cards labeled q, r, s, t, u, v, w, x, y, and z. one card will be randomly chosen. what is…

a box contains ten cards labeled q, r, s, t, u, v, w, x, y, and z. one card will be randomly chosen. what is the probability of choosing a letter from u to z? write your answer as a fraction in simplest form.

a box contains ten cards labeled q, r, s, t, u, v, w, x, y, and z. one card will be randomly chosen. what is the probability of choosing a letter from u to z? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Count favorable outcomes

There are 5 letters from U to Z (U, V, W, X, Y, Z), so the number of favorable outcomes is 5.

Step2: Determine total outcomes

There are 10 cards in total, so the total number of possible outcomes is 10.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}}$. So $P = \frac{5}{10}$.

Step4: Simplify fraction

$\frac{5}{10}=\frac{1}{2}$ by dividing both numerator and denominator by 5.

Answer:

$\frac{1}{2}$