type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar…

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. the probability of picking a card with an even number is

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. the probability of picking a card with an even number is

Answer

Explanation:

Step1: Count total numbers

There are 9 numbers (7, 11, 12, 13, 14, 18, 21, 23, 27, 29). So total number of outcomes $n = 9$.

Step2: Count even - numbered outcomes

The even - numbered numbers are 12, 14, 18. So number of favorable outcomes $m=3$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{m}{n}$. Substituting $m = 3$ and $n = 9$, we get $P=\frac{3}{9}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$