Question

You roll a​ six-sided die. Find the probability of each of the following scenarios.
(a) Rolling a
5 or a number greater than 3
​(b) Rolling a number less than
5 or an even number
​(c) Rolling a
6 or an odd number

Answer 1

(a) The set of numbers is {4, 5, 6}. The probability is therefore 3/6 = 1/2.
(b) The set of numbers is {1, 2, 3, 4, 6}. The probability is therefore 5/6.
(c) The set of numbers is {1, 3, 5, 6}. The probability is therefore 4/6 = 2/3.

Answer 2

The probability of each of the following scenarios :

(a) Rolling a 5 or a number greater than 3  is 1/2

​(b) Rolling a number less than 5 or an even number is  5/6

​(c) Rolling a 6 or an odd number is 2/3

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

If you roll the dice, there will be 6 possible results :

{ 1 , 2 , 3 , 4 , 5 , 6 } → sample space

(a) The favorable outcome from rolling a 5 or a number greater than 3  is :

{ 4 , 5 , 6 } , then the probability will be :

$P(A) = \frac{3}{6}$

$\large {\boxed {P(A) = \frac{1}{2}} }$

(b) The favorable outcome from rolling a number less than 5 or an even number is :

{ 1 , 2 , 3 , 4 , 6 } , then the probability will be :

$\large {\boxed {P(B) = \frac{5}{6}} }$

(c) The favorable outcome from rolling a 6 or an odd number is :

{ 1 , 3 , 5 , 6 } , then the probability will be :

$P(C) = \frac{4}{6}$

$\large {\boxed {P(C) = \frac{2}{3}} }$

Learn more

• Different Birthdays : https://brainly.com/question/7567074
• Dependent or Independent Events : https://brainly.com/question/12029535
• Mutually exclusive : https://brainly.com/question/3464581

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die