Question

Two dice are rolled. Find the probability that the sum is (i) equal to 1 (ii) equal to 4 (ii) less
than 13
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Answer 1

Answer:

1) equal to 1 is 0...

2) equal to 4 is 1/12..

3)less than 13 is 1/1

Answer 2

Answer:

Probability (sum is equal to 1)=0

Probability (sum is equal to 4)=3/36=1/12

Probability (sum is less than 13)=1

Step-by-step explanation:

When two dices are rolled at same time then there are total 36 possibilities.

1-Probability (sum is equal to 1)=0

there is only no possible that the sum of the given numbers on two dice are equal to 1 because the numbers are given from 1to 6 on a dice .

2- Probability (sum is equal to 4)=

there are only three possibilities that the sum of given numbers on dice are equal to 4. These three possibilities are (1,3),(3,1),(2,2).

Probability =3/36

=1/12

3-Probability (sum is less than 13)=

The all possibilities that given the sum is less than 13 because the largest number

is 6 on a dice. Therefore 6+6=12.Then these are 36 possibilities that given the sum less than 13. (1,1)(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Probability =36/36=1