two numbers rolled can be added to get a sum. Find P(sum is less than 4)
There are six possible outcomes when two numbers are rolled:
1+1, 1+2, 1+3, 2+1, 2+2, 3+1
Out of these, only 1+1 has a sum that is less than 4.
Therefore, the probability of getting a sum that is less than 4 is:
P(sum is less than 4) = 1/6
To find the probability that the sum of two rolled numbers is less than 4, we need to identify all the possible outcomes and determine the favorable outcomes.
The possible outcomes for rolling two dice are:
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
Now, we can count all the outcomes where the sum is less than 4:
1, 1
There is only one favorable outcome.
Therefore, the probability (P) that the sum is less than 4 is given by:
P(sum is less than 4) = Number of favorable outcomes / Total number of possible outcomes
= 1 / 36
= 1/36
Thus, the probability that the sum of the two rolled numbers is less than 4 is 1/36.