Question

Two Dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is :
1) 7
2) A prime Number
3) 1.​

Answer 1

Step-by-step explanation:

1)1/6

2)7/18

3)0

I hope

Answer 2

Answer:

ANSWER

According to the question,

Two dice are thrown simultaneously.

So, that number of possible outcomes =36

(i) Sum of the numbers appearing on the dice is 7.

So, the possible outcomes =(1,6),(2,5),(3,4),(4,3),(5,2),(6,1).

Hence, number of possible outcomes =6

∴ the probability that the sum of the numbers appearing on the dice is 7=366=61

(ii) Sum of the numbers appearing on the dice is a prime number i.e. 2,3,5,7 and 11 

So, the possible ways are (1,1),(1,2),(2,1),(1,4),(2,3),(3,2),(4,1),(1,6),(2,5),(3,4),(4,3),(5,2),(6,1),(5,6) and (6,5) 

Number of possible ways =15 

∴ Required probability =3615=125

(iii) It is not possible, so its probability is zero