Question

If two dice are rolled one time, find the probability of getting a sum less than or equal to 4 ​

Answer 1

Answer:

The probability of getting a sum less than or equal to 4 ​is 1/6.

Step-by-step explanation:

When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.

When two dices are rolled, the number of sample space elements is:

$n(S) = 36$

Let A be the event that the sum of outcomes is less than or equal to 4:

$A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}$

That implies

$n(A) = 6$

The probability of getting sum less than or equal to 4 will be:

$P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}$

Hence,

The probability of getting a sum less than or equal to 4 ​is 1/6