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 4 or an even number.(c) Rolling a 4 or an odd number.

Answer:The probability of Rolling a 5 or a number greater than 3 is 0.5The probability of Rolling a number less than 4 or an even number is 0.833The probability of Rolling a 4 or an odd number is 0.667Step-by-step explanation:Consider the provided information.You roll a​ six-sided die.The number of possible outcomes are: S={1, 2, 3, 4, 5, 6}Part (a) Rolling a 5 or a number greater than 3.Number greater than 3 are 4, 5 and 6. A = {4,5,6}The required probability is: [tex]P(A)=\frac{n(A)}{n(s)}[/tex][tex]P(A)=\frac{3}{6} =\frac{1}{2}=0.5[/tex]The probability of Rolling a 5 or a number greater than 3 is 0.5Part ​(b) Rolling a number less than 4 or an even number.Less than 4: {1,2,3} Even numbers: {2,4,6} Rolling a number less than 4 or an even number: B={1,2,3,4,6} The required probability is: [tex]P(B)=\frac{n(B)}{n(s)}[/tex][tex]P(B)=\frac{5}{6}=0.833[/tex]The probability of Rolling a number less than 4 or an even number is 0.833Part (c) Rolling a 4 or an odd number.Rolling a 4: {4} Rolling an odd number: {1,3,5}Rolling a 4 or an odd number: C={1,3,4,5} The required probability is: [tex]P(C)=\frac{n(C)}{n(s)}[/tex][tex]P(C)=\frac{4}{6}=0.667[/tex]The probability of Rolling a 4 or an odd number is 0.667