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$A bag contains 13 cards numbered 1 through 13. A card is randomly chosen from the bag. What is the probability that the card has an odd number on it? Write your answer as a fraction in simplest form.$

A bag contains $13$ cards numbered $1$ through $13$ . A card is randomly chosen from the bag. What is the probability that the card has an odd number on it? $\newline$ Write your answer as a fraction in simplest form.

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Theoretical probability

Full solution

Q. A bag contains

13

cards numbered

1

through

13

. A card is randomly chosen from the bag. What is the probability that the card has an odd number on it?

\newline

Write your answer as a fraction in simplest form.

Count cards: Count the total number of cards in the bag. There are $13$ cards numbered from $1$ to $13$ .
Identify odd numbers: Identify the odd numbers within the range $1$ to $13$ . The odd numbers are $1$ , $3$ , $5$ , $7$ , $9$ , $11$ , and $13$ . That makes $7$ odd numbers.
Calculate probability: Calculate the probability of drawing an odd-numbered card. Probability = Number of favorable outcomes / Total number of outcomes = $\frac{7}{13}$ .

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