Kate said to Liam, “If you roll a 5 on a number cube, you win. If I get a head on a coin toss, I win.” Is the game fair or unfair? Explain.
a.No; P(5) and P(Heads) are not basically close.
b.No; Heads is not an option on a number cube.
c.Yes; P(5) and P(Heads) are basically equal.
d.Yes; Rolling a number cube and flipping a coin have no effect on each other.
prob(5 on a cube) = 1/6
prob(head on coin toss) = 1/2
So, ... what do you think?
what is meaning of this nonsense
idk really
I hate math either way so yeah:(
To determine if the game is fair or unfair, we need to compare the probabilities of each event occurring. In this case, we have two events: rolling a 5 on a number cube and getting a head on a coin toss.
To calculate the probability of rolling a 5 on a number cube, we need to know how many total possible outcomes there are. Assuming the number cube is fair, it has 6 sides numbered from 1 to 6. Since we are only interested in rolling a 5, there is only 1 desired outcome. Therefore, the probability of rolling a 5 is 1/6.
To calculate the probability of getting a head on a coin toss, we again need to know the total possible outcomes. A coin has 2 sides - heads and tails. Since we are only interested in getting a head, there is only 1 desired outcome. Therefore, the probability of getting a head on a coin toss is 1/2.
Now, let's compare the two probabilities. We can see that P(5) = 1/6 and P(Heads) = 1/2. These probabilities are not equal or even close to each other. Therefore, the game is unfair because the probabilities of winning for each player are not balanced.
The correct answer is: a) No; P(5) and P(Heads) are not basically close.