Question

a fair die is rolled four times. what is the probability of obtaining a 5, 3, 5, and 5, in that order?

P(a 5,3,5 and 5 in that order)=

Step 1

A fair die being rolled four times is equivalent to four independent dice being rolled simultaneously. The essential point is the independence of the outcomes obtaining in each die. The numbers (and the order) 5,3,5,5 play no role in this problem, as any of the outcomes {1,2,3,4,5,6} is equally likely in the roll of one (fair) die.

Step 2

So the required probability is obtained by mu...

Tagged in

Q: Abstract Algebra. Please explain everything in detail.

A: To prove the statements regarding the quotient ring F[x]/(p(x)), under the given conditions

Q: I do not understand number 8. Can you explain me how to do it? Thank you.

A: As per norms, the three parts f, g and h are answered. Questions regarding relations and functions

Q: pls show me step by step an don't skip the step. thanks

A: To solve the given differential equation using matrix methods

Q: Suppose that f : R → R is differentiable and define g(x) = x^3 f(x^3). Show that g is differentiable...

A: Given:The function f : R → R is differentiable.The function g(x) = x3 f(x3).

Q: What conditions have to be checked to determine if a function is "well defined"? How would I show t...

A: Let the function beThen we need to check 3 conditions to prove that the function is Well definedThey...

Q: 1. (20 points) Find the polynomial of least degree that interpolates the data 3 7 1 2 X f(x) 10 146 ...

A: Consider the given data:

Q: 2. Prove that if n is even, then 3n + 1 is odd

A: The given expression is 3n + 1. Prove that 3n + 1 is odd, if n is even.

Q: I only need the explanation of number 9. I am not sure how to do it. Thanks

A: As per norms, the first three questins are answered. To determine the truth or falsity of the given ...

Q: 0, 2 is defined by A natural cubic spline S on 5. So()12x - 0 if 1 (1) S(r)2b(x1)c(x - 1)2d(x - 1) i...

A: 5.Note that, the natural cubic spline must satisfy the conditions

Sorry about that. What wasn’t helpful?