Note: Complete Question part
(a) What would be the fair payoff in this case?
Let Pn ,k denote the probability that exactly k of the n numbers chosen by the player are among the 20 selected by the house.
Answer:
the fair payoff is $16.63
Step-by-step explanation:
Find the attachments for complete step by step explanation
Answer:
The angles are 15 degrees, 45 degrees and 120 degrees
Step-by-step explanation:
The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees
Let x = the size of the largest angle of the triangle
Let y = the size of the middle angle of the triangle
Let z = the size of the smallest angle of the triangle.
x + y + z = 180 - - - - -- - - - - - - 1
The size of the largest angle is eight times the size of the smallest angle.
This means
x = 8z
The size of the middle angle is triple the size of the smallest angle. This means
y = 3z
Put x = 8z and y = 3z in equation 1
8z + 3z + z= 180
12z = 180
z = 180/12 = 15
x = 8z = 8×15 = 120
y = 3z = 3 × 15 = 45
Anything subtracted by itself is 0
So, the answer is 0.
Hope this helped!
Less because if you multiply any number by a fraction (not mixed or improper) than it will always be less because multiplying it by 1 will keep it the same anything less than one will make the number smaller the answer of 3/4 x 2/9 is 1/6 btw