Two dices are rolled simultaneously. The probability that the sum of d...
Explanation:
When two dice are rolled simultaneously, the total number of possible outcomes is 36 (6 outcomes for the first die multiplied by 6 outcomes for the second die). To find the probability of getting an even sum, we need to determine the number of favorable outcomes.
Favorable outcomes:
To find the favorable outcomes, we need to consider all the possible combinations of numbers on the two dice that result in an even sum. We can list all the combinations as follows:
1. (1,1)
2. (1,3)
3. (1,5)
4. (2,2)
5. (2,4)
6. (2,6)
7. (3,1)
8. (3,3)
9. (3,5)
10. (4,2)
11. (4,4)
12. (4,6)
13. (5,1)
14. (5,3)
15. (5,5)
16. (6,2)
17. (6,4)
18. (6,6)
There are a total of 18 favorable outcomes.
Probability:
The probability of an event is given by the ratio of favorable outcomes to total outcomes. In this case, the probability of getting an even sum is:
Probability = Number of favorable outcomes / Total outcomes
Probability = 18 / 36
Probability = 0.5
Therefore, the probability of getting an even sum when two dice are rolled simultaneously is 0.5, which corresponds to option A.
Two dices are rolled simultaneously. The probability that the sum of d...
Here sample space S = 6 x 6 = 36
Total no. of way in which sum of digits on the top surface of the two dice is even is 18.
∴ The require probability = 18/36 = 0.5.