You are rolling one die. Let event A = rolling a six and let event B = rolling a number less than four. What is the probability of A or B?

2/3

Step-by-step explanation:

A = rolling a six

B = rolling a number less than 4

Probability of A or B

P(A) or P(B) = P(A) + P(B) - P(AnB)

Probability = (number of required outcome / Total possible outcomes)

P(A) = 1 / 6

P(B) :

Required outcomes = (3, 2, 1) = 3

P(B) = 3/6 = 1/2

P(AnB) = A={6} ; B = {1,2,3} ; AnB = {}

P(AnB) = 0

Hence,

P(A) or P(B) = 1/6 + 1/2 - 0

= (1 + 3) / 6

= 4/ 6

= 2/3

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc