Question

What is the probability that a number selected from the numbers 1, 2, 3, 4, 5......,16 is a prime number ?

• A. $\frac{1}{16}$
• B. $\frac{5}{8}$
• C. $\frac{3}{8}$
• D. $\frac{7}{16}$

Answer 1

The correct option is C $\frac{3}{8}$

Since, Total outcomes $=16$
prime no's from $1$ to $16$ are: $2,3,5,7,11,13$
total prime no's $=6$
$\therefore$ favorable outcomes$=6$
$\therefore$ probability = $\frac{6}{16}=\frac{3}{8}$
$\therefore$ Option C is correct.