(MB)^2

Basic Probability

100

Rolling a dice and getting an even number

3/6

200

Flipping a coin and getting heads

1/2

300

Using the spinner on the board, what is the probability of getting a factor of 15. 

3/8

Multi Stage Probability

100

A pair of dice is rolled. What is the probability that the sum showing on the pair of dice will be greater than 9 if the first die shows a 6?

3/6 or 1/2

200

If you toss a penny 4 times, what is the probability of getting as many heads as tails?

11/16

300

A box contains 3 white balls and two black balls. A ball is drawn at random from the box and not replaced. Then the second ball is drawing from the box. Make a tree diagram and find the probability of the event that the two balls are of different colors. 

3/5

Expected Value

100

In a game, a marble is drawn from a bog containing one black and one white marble and the color is recorded. The marble is replaced, and another is drawn, and the color is recorded. If the two colors match, you win, but if the marbles don't match you lose. Explain whether this is a fair game. 

Yes, this is a fair game.

200

Suppose it costs $5 to play a game in which you roll a pair of tetrahedral (4-sided) dice. You get paid a dollar amount equal to the sum of the dice. What is the expected value of the game? Is it a fair game?

EV=0, meaning the game is fair.

300

A game involves tossing two coins. A player wins $1.00 if both tosses results in heads. What should you pay to play this game in order to make it a fair game? Explain your reasoning. 

0.25