Question

choose correct option .
justify your answer

Answer 1

The answer is given below :

When two dices are rolled simultaneously, the number of possible sample points are = 6 × 6 = 36.

Let us consider that,

K Ξ the event of getting the sum of two numbers as a square number.

So, the possible sample points are 7 in numbers and they are -

(1, 3), (2, 2), (3, 6), (3, 1), (6, 3), (4,5) and (5, 4).

Therefore, the number of probability of getting sum of the numbers as a square number,

P (K) = 7/36

So, Option (A) is is right.

Thank you for your question.

Answer 2

Given that number of dice rolled = 2.

Total possible outcomes n(S) = 36.

Let A be the event of getting Sum of the numbers on the dice as a square number.

n(A) = (1,3),(3,1),(2,2),(3,6),(6,3),(5,4),(4,5)

       = 7.


Therefore the required probability P(A) = n(A)/n(S)

                                                                  = 7/36.



Hope this helps!