Hi so can anyone explain probability. So 7 grader can understand and answer these questions A fair dice is rolled. What is the probability of rolling: (a) 6 (b) 3 (c) 2 or 3 (d) even number (e) number greater than 2

a) 1 / 6

b) 1 / 6

c) 1 / 2

d) 2 / 3

Step-by-step explanation:

Probability is the (number of ways of getting the desired result) / (the total possible outcomes)

The desired result is something that we are focusing on, and the total possible outcomes is every outcome that might happen.

To make this simpler, let's look at a coin, which has two sides- a heads side, and a tails side. If we were looking at the chance of getting heads:

There is 1 way to get heads (because there is only one side). There are two possibilities- the coin can either land on heads or tails. Thus, using the formula above:

(number of ways of getting the desired result) / (the total possible outcomes) =

(1 way to get heads) / (2 possible outcomes) = 1/2 chance that the coin will land on heads.

So, apply this to a die (the singular form of the [plural word] dice). A die has 6 sides - 1, 2, 3, 4, 5, and 6. So, there are 6 possible outcomes.

a) There is one way to get a 6 because there is only one side that has a 6 on it. So, there is 1 desired result. Then, because there are 6 possible outcomes, the probability of rolling a 6 is (1) / (6), or 1/6

b) There is also only one way to get a 3 because there is only one side that has a 3 on it. So, there is 1 desirable result. Because there are 6 possibilities, the probability of rolling a 3 is 1 / 6

c) There are 3 even numbers on a die (2, 4, and 6). So, there are 3 desirable outcomes. Thus, the probability of rolling an even number is 3 / 6 or 1/2

d) There are 4 numbers greater than 2 on a die (3, 4, 5, and 6), which means there are 4 desirable results and the probability is then 4 / 6, or 2 / 3

I hope this helps! Feel free to ask any questions!