Rolling a dice and getting an even number
3/6
3/6 or 1/2
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.
Flipping a coin and getting heads
1/2
If you toss a penny 4 times, what is the probability of getting as many heads as tails?
11/16
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.
Using the spinner on the board, what is the probability of getting a factor of 15.
3/8
3/5
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