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
