Question

If a number is chosen at random from the following list, what is the probability that it is not prime?                2, 3, 5, 7, 11, 13, 17, 19

Answer 1

We recall the definition of probability.

Probability deals with random occurrence of event

Given:

The list is $2,3,5,7,11,13,17,19$

All the above numbers are prime numbers.

Thus, we can not choose a number which is not prime from the given list

Hence, the probability of number is not prime is $0$

Answer 2

The probability that the randomly choosen number is not prime is 0

Given :

A number is chosen at random from the list 2, 3, 5, 7, 11, 13, 17, 19

To find :

The probability that the randomly choosen number is not prime

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The given list of numbers are 2, 3, 5, 7, 11, 13, 17, 19

Total numbers in the list = 8

So the total number of possible outcomes = 8

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the randomly choosen number is not prime

2, 3, 5, 7, 11, 13, 17, 19 are all prime numbers

So total number of possible outcomes for the event A is 0

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{0}{8} }$

$\displaystyle \sf{ = 0 }$

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