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

cerenetie May 2, 2019

#1**+3 **

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.....

CPhill May 2, 2019

#2**+3 **

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

CPhill May 2, 2019