Two dice are rolled. What are the odds in favor of a sum less than 5?

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if you are in high school you ought to know this.

heres a hint:

1-1
1-2
1-3
2-2

keep on doing that but skip ones that are repeats make sure that the sum is less than 5.
this is the longer way to do it but in order to understand it you should do this way before using the quick way.

Determine whether the situation calls for a discrete or continuous random variable.

8)

The cost of a randomly selected orange

9)

The pH level in a shampoo

10)

The braking time of a car

11)

The number of field goals kicked in a football game

To find the odds in favor of a sum less than 5 when two dice are rolled, we first need to determine the number of favorable outcomes and the number of possible outcomes.

Step 1: Determine the favorable outcomes
For a sum less than 5, we need to consider the possible combinations of dice rolls that result in a sum of 2, 3, or 4. These combinations are:

Sum 2: (1, 1)
Sum 3: (1, 2), (2, 1)
Sum 4: (1, 3), (2, 2), (3, 1)

So, there are 6 favorable outcomes.

Step 2: Determine the possible outcomes
When two dice are rolled, there are 6 possible outcomes for each dice (as they have six faces numbered 1 to 6). Since we are rolling two dice, the total number of outcomes is found by multiplying the number of possible outcomes for each dice:

6 (possible outcomes for the first dice) × 6 (possible outcomes for the second dice) = 36 possible outcomes

Step 3: Calculate the odds in favor
The odds in favor are determined by dividing the number of favorable outcomes by the number of possible outcomes:

Odds in favor of sum less than 5 = Favorable outcomes / Possible outcomes
= 6 / 36
= 1/6

Therefore, the odds in favor of a sum less than 5 when two dice are rolled is 1/6.