Probability?

Use the Counting Principle:


1. Rolling a 3 on each of two number cubes


2. Choosing the three winning lottery numbers when the numbers are chosen at random from 1 to 50. Numbers can repeat.





Find the probability:


3. You toss tails and roll an even number (when you toss a coin and roll a number cube)


4. You roll two odd numbers and pick a vowel (when you roll two number cubes and pick a letter of the alphabet at random).





Reasoning:


5. You have a bag containing an equal amount of quarters, nickels, and dimes. You reach into the bag an choose a coin. Are all outcomes equally likely? Explain.





Extended:


6. You roll two number cubes. List all possible outcomes. Find the probability of each event.


a. rolling a 1 and 2


b. rolling the same numbers


c. rolling different numbers





Try to explain or show your work


-Thanks!

Probability?
I'll let you do the math. Below is the equation for each:





1. 1/6 * 1/6


2. 1/50 * 1/50 * 1/50


3. 1/2 * 3/6


4. 3/6 * 3/6 * 5/26 (assuming y isn't a vowel)


5. No because a quarter has more surface area than a dime and thus the chances of picking a quarter is more likely.


6a. 1/6 * 1/6 (assuming a 1 first and then a 2 second. If the order is unimportant the answer is 2/6 * 1/6)


6b. 1/6


6c. 5/6





I should get 20 points for all of this!