Question

which fractions represent how to find the probability to rolling a number less than 5 and a number greater than 2?

Answer 1

`(1)/(3)`

Step-by-step explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible

Step 1

find the total of favorable possible

`\begin{gathered} \text{for a dice, } \\ a\text{ number less than 5, it is, 1, 2, 3 or 4, ( 4 favorables outcomes}) \\ a\text{ number greater than 2, it is, 3,4 , 5 or 6} \\ \text{the numbers that have the two options are 3 and 4 ( 2 favorable outcomes)} \end{gathered}`

favorable outcomes : 2 ( 3 and 4)

Step 2

find the total number of outcomes possilbe

the dice has 6 faces, (numbers, 1, 2, 3, 4, 5 or 6),

possible outcomes : 6 ( 1,2,3,4,5 and 6)

Step 3

finally replace

`\begin{gathered} P=\frac{favorable\text{ outcomes}}{\text{possible outcomes}} \\ P=(2)/(6)=(1)/(3) \end{gathered}`