Question

A number is to be chosen at random from among the set of integers from $1$ to $9$, inclusive. Find the probability that the number chosen is a multiple of $4$.

• A. $\frac{1}{9}$
• B. $\frac{2}{9}$
• C. $\frac{1}{3}$
• D. $\frac{4}{9}$
• E. $\frac{1}{2}$

Answer 1

Answer: (B)

$\frac{2}{9}$

The probability of an event is the number of ways the event can happen divided by the total number of possible outcomes.
Probability $=\frac{favourableoutcomes}{totalpossibleoutcomes}$
Here total possible outcomes are
$S=\{1,2,3,4,5,6,7,8,9\}$
Favorable outcomes are number which are divisible by $4$ are $4$ and $8$.
So favorable outcomes will be $2$.
Total possible outcomes will be $9$.
So, probability $=\frac{2}{9}$