Question

A dice is thrown What is the probability that the number shown on the dice is not divisible by 3

Answer 1

Answer:

P (A) = n (A) / n (S) = 12 / 36

Step-by-step explanation:

IS THE CORRECT ANSWER

Answer 2

The probability that the number shown on the dice is not divisible by 3 is 2/3

Given :

A dice is thrown

To find :

The probability that the number shown on the dice is not divisible by 3

Solution :

Step 1 of 3 :

Find total number of possible outcomes

Here it is given that a dice is thrown

So the event points are

= { 1 , 2 , 3 , 4 , 5 , 6 }

So the total number of possible outcomes = 6

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the number shown on the dice is not divisible by 3

So the event points are 1 , 2 , 4 , 5

So total number of possible outcomes for the event A is 4

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

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

$\displaystyle \sf{ = \frac{4}{6} }$

$\displaystyle \sf{ = \frac{2}{3} }$

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