Questions: 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.
6/10
Transcript text: 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.
\[
\frac{6}{10}
\]
Solution
Solution Steps
Step 1: Calculate the Total Number of Desired Outcomes (D)
To find D, we subtract the position of A (21) from the position of B (26) and add 1.
D = position(B) - position(A) + 1 = 26 - 21 + 1 = 6
Step 2: Calculate the Total Number of Possible Outcomes (T)
The total number of possible outcomes T is simply the total number of cards, which is 10.
Step 3: Calculate the Probability (P)
The probability P is the ratio of the number of desired outcomes D to the total number of possible outcomes T.
P = D / T = 6 / 10 = 3/5
Final Answer:
The probability of selecting a card within the specified range is 3/5.