You roll a six-sided die. find the probability of each of the following scenarios.

(a) rolling a 4 or a number greater than 3
(b) rolling a number less than 5 or an even number
(c) rolling a 4 or an odd number

Step-by-step explanation:

A six-sided die has the following outcomes in the six sides, 1,2,3,4,5,6

a) To determine the probability of rolling a 4 or a number greater than 3 ,

There are a total of six possible outcomes when a die is rolled

You can get a 4 once in a throw.

Probability of rolling a 4 is 1/6

Also, there are three numbers greater than 3.

Probability of rolling a number greater than 3 is 3/6 = 1/2

The events are non mutually exclusive because the possibility of a 4 is common to both outcomes. We would subtract the probability of one 4 which equals 1/6.Therefore

The probability of rolling a 4 or a number greater than 3 is 1/6+ 1/2 - 1/6 = 1/2

(b) Rolling a number less than 5 or an even number

There are 4 numbers that are lesser than 5.

Probability of rolling a number less than 5 is 4/6 = 2/3

There are 3 even numbers

Probability of rolling an even number is 3/6 = 1/2

The events are non mutually exclusive because the possibility of a 2 and a 4 is common to both outcomes. We will subtract the probability of a 2 and a 4 which equals 2/6 = 1/3. Therefore

The probability of rolling a number less than 5 or an even number is

2/3 + 1/2 -1/3 = 5/6

(c) Rolling a 4 or an odd number

You can get a 4 once in a throw.

Probability of rolling a 4 is 1/6

There are three odd numbers. Therefore,

Probability of rolling an odd number is 3/6 = 1/2

Therefore

Rolling a 4 or an odd number is

1/2 + 1/6 = 4/6 = 2/3

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

move it to the other side

step-by-step explanation: