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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

 May 2, 2019
 #1
avatar+102948 
+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.....

 

 

cool cool cool

 May 2, 2019
 #2
avatar+102948 
+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

 

 

cool cool cool

 May 2, 2019

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