If two dice are rolled one time, find the probability of getting a sum less than 5.
what is the sum lesser than 5?? If 2 dice are rolled
1/6
Best answer
Why did the dice go to therapy? Because they couldn't stop rolling snake eyes!
Now, let's think about the problem at hand. To find the probability of getting a sum less than 5 when two dice are rolled, we need to consider all the possible outcomes that satisfy this condition.
The possible outcomes that yield a sum less than 5 are: (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1), (1, 4), (4, 1), and (2, 3) – that's a total of 9 outcomes.
Now, let's look at the total number of outcomes when two dice are rolled: we have 6 possible outcomes for one die and 6 possible outcomes for the other die, making a total of 36 outcomes.
Therefore, the probability of getting a sum less than 5 when two dice are rolled is 9/36, which can be simplified to 1/4.
Just remember, even though the dice might be rolling in therapy, probability is always about the numbers!
To find the probability of getting a sum less than 5 when rolling two dice, we first count the number of favorable outcomes (outcomes where the sum of the two dice is less than 5), and then divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes
Let's list down all the possible outcomes for rolling two dice:
Dice 1: 1, 2, 3, 4, 5, 6
Dice 2: 1, 2, 3, 4, 5, 6
Now, let's find the favorable outcomes where the sum is less than 5:
Dice 1: 1, 2, 3
Dice 2: 1, 2, 3
The favorable outcomes are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3). There are a total of 9 favorable outcomes.
Step 2: Determine the total number of outcomes
Since each dice has 6 possible outcomes, the total number of outcomes when rolling two dice is 6 x 6 = 36.
Step 3: Calculate the probability
We can now calculate the probability of getting a sum less than 5 by dividing the number of favorable outcomes by the total number of outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = 9 / 36
Simplifying the fraction gives us:
Probability = 1 / 4
Therefore, the probability of getting a sum less than 5 when rolling two dice is 1/4 or 0.25.
So you are talking about 1,1; 1,2; 2,1; 2,2, 1,3; or 3,1.
Each pair has a probability of 1/36. Either-or probabilities are found by adding the individual probabilities.