FINAL EXAM

Solve

• 864

• 19

• 315

Define the sample space, S, of a fair coin being tossed once.

• H,T

• T,H

• (S=1,2)

DODECAGON A regular, 12-sided dodecagon is rolled once.

a. What is the sample space of the experiment?

• { 1 ,2 ,3, 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11, 12 }

• { 1 ,2 ,3, 4 , 5 , 6 }

• { 1 ,12}

What is the sample space for the event of rolling an even number?

• { 2, 12 }

• { 2, 4, 6, 10, 12 }

• { 2, 4, 6, 8, 10, 12 }

Determine whether the events are independent or dependent. Explain your reasoning. 6. You roll an even number on a fair die, and then spin a spinner numbered 1 through 5 and it lands on an odd number.

• independent

• dependent

An Ace is drawn from a standard deck of 52 cards, and is not replaced. Then, a second ace is drawn.

• independent

• dependent

Determine whether the events are mutually exclusive or not mutually exclusive. Explain your reasoning. 1. A die is rolled while a game is being played. The result of the next roll is a 6 or an even number.

• Not mutually exclusive

• Mutually exclusive

3 x -2 y = 4

5 x + 3 y = -25

• Infinitely many solutions

• (0,0)

• ( -2 , 1 )

• ( -2 , -5 )

5x + 2y = 12

-6x-2y=-14

• ( 2 , 1 )

• ( -2 , -5 )

• ( 1 , 2 )

• ( -2 , -1 )

6w - 8z = 16

3w - 4z = 8

• ( 0 , 0 )

• Infinitely many solutions