+642 1) Forty eight slips of paper are numbered 1 through 48 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 48, inclusively.
A fair decision is made using this process.
How many people could be in this group?
A) 5
B) 8
C) 9
D) 10
In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move forward 6 spaces. Otherwise, you move back 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
A) 1 space forward
B) 1 space backward
C) 3 spaces forward
D) 3 spaces backward
+129852 1) Forty eight slips of paper are numbered 1 through 48 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 48, inclusively.
A fair decision is made using this process.
How many people could be in this group?
A) 5
B) 8
C) 9
D) 10
The number of people must be a divisor of 48.......so "B" is the answer.....
+129852 In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move forward 6 spaces. Otherwise, you move back 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
A) 1 space forward
B) 1 space backward
C) 3 spaces forward
D) 3 spaces backward
Possible outcomes
(1,1) (4,4) (6, 6) (8,8)
(1,4) (4, 6) (6, 8)
(4, 1) (6,4) (8,6)
(1, 6) (4,8)
(6.1) (8,4)
(1,8)
(8,1)
P(even ) = 10/16 = 5/8
P(odd) = (3/8)
So.....the expectation is
(5/8)(6) - (3/8)(2) = 30/8 - 6/8 = 24/8 = 3 spaces forward
