Answer:
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
