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

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. \[ \frac{6}{10} \]
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Solution

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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.

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