Question

Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is not evenly divisible by 2.

Answer 1

Answer:

probability that the integer not evenly divisible by 2 is  $\frac{1}{2}$.

Step-by-step explanation:

Given : An integer be chosen at random from the integers 1 to 30 inclusive.

To find  : Find the probability that the integer chosen is not evenly divisible by 2.

Solution : We have integers 1 to 30.

We need to find probability that the integer not evenly divisible by 2.

We know that odd numbers are not divisible by 2

Odd number 1 to 30 ( 1 , 3, 5, 7 ,9,11,13,15,17,19,21,23,25,27,29)

Total odd number 1 to 30 =  15 .

Probability =  $\frac{favourble\ outcome}{total\ numver\ of\ outcome}$.

Probability = $\frac{15}{30}$.

Probability = $\frac{1}{2}$.

Therefore,  probability that the integer not evenly divisible by 2 is  $\frac{1}{2}$.

Answer 2

Exactly half of these integers are odd (1, 3, 5, ..., 29) so the probability of selecting an odd number is $\dfrac12$.