How do we find probability of an event

Divide the number of desired outcomes by the total number of possible outcomes.

Here are some examples using an unbiased 6-number die with numbers 1 through 6 on its faces.

Example 1:

What is the probability of rolling a 5?

Number of ways of getting the desired outcome?  1, by rolling a 5.

Total number of possible outcomes: 6, any roll from 1 to 6.

Probability of rolling a 5:

p(5) = (number of desired outcomes)/(total number of outcomes)

p(5) = 1/6

Example 2:

What is the probability of rolling a number grater than 4?

The desired outcome is 5 or 6. The number of ways of getting the desired outcome is 2 since only a 5 or a 6 will work.

Total number of possible outcomes: 6

p(greater than 4) = 2/6 = 1/3

v<31

Step-by-step explanation:

Simplify

v-6<25

We want to isolate x.

v<25+6

Simplify

v<31

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