Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the numbers 1 to 428 1/2 25 1/428 the probability of opening a book wit…

Question

the numbers 1 to 428
1/2
25
1/428
the probability of opening a book with 428 pages to an even numbered page.

Explanation:

Step1: Determine total number of pages

Total number of pages \(n = 428\).

Step2: Determine number of even - numbered pages

Since every other page is even - numbered, the number of even - numbered pages \(m=\frac{428}{2}=214\).

Step3: Calculate probability

Probability \(P=\frac{m}{n}\). Substitute \(m = 214\) and \(n = 428\), we get \(P=\frac{214}{428}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)