Question

There are 30 cards of the same size in a bag In which the numbers 1 to 30 are written.One card is taken out Of the bag at random.find the probability that the number on the selected card is not divisible by 3

Answer 1

Probability that the number on the selected card is not divisible by 3 is 0.67.

Step-by-step explanation:

We are given that there are 30 cards of the same size in a bag in which the numbers 1 to 30 are written.

One card is taken out of the bag at random and we have to find the probability that the number on the selected card is not divisible by 3.

Firstly, Probability of any event =  $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Also, Probability is never negative and does not exceed 1 which means the value of probability of any event lies between 0 and 1.

Here, the total number of outcomes = 30 numbers

Number on the card which is not divisible by 3 in a list of 1 to 30 are : 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29

So, total numbers on the selected card that is not divisible by 3 = 20 numbers  

Hence, the probability that the number on the selected card is not divisible by 3  =  $\frac{\text{Number of cards which has a number that is not divisible by 3}}{\text{Total number of cards}}$

         =  $\frac{20}{30}$

         = 0.67

Therefore, the probability that the number on the selected card is not divisible by 3 is 0.67.