M&M+vs+Skittles+Classroom

Compile your group results in the table below: ||||||||||||||  Color ||  Totals || ||  ||   ||   ||   ||   ||   ||   ||   || ||   ||   ||   ||   ||   ||   ||   ||   || ||   ||   ||   ||   ||   ||   ||   ||   ||  Using the group results from the table above:
 * Type
 * Skittles
 * Skittles
 * M&M’s
 * Totals

8. What is the probability of randomly picking an orange piece of candy? 9. What is the probability of randomly picking a brown M & M? What is the probability ofrandomly picking a brown piece of candy? How do these probabilities connect to the sample spaces of the two types of candy? 10. What is the probability of randomly picking a Skittle and a red piece of candy? 11. What is the probability of randomly picking a Skittle or a red piece of candy? 12. Explain why #10 and #11 do not result in the same probability. Sometimes we might be interested in considering only some of the candy in calculating our probabilities. We call this __conditional probability__. For example, we might like the color green andwant to find the probability of randomly picking it for a certain type of candy.

13. Considering only the green pieces of candy, what is the probability of randomly picking a Skittle? 14. Considering only the Skittles, what is the probability of randomly picking a green piece of candy? Should this probability be the same as in #13? Explain. Another way to think about conditional probability is that you are “given” certain information and then told to calculate the probability.

15. Given that the candy was red, what is the probability that it was an M&M? 16. Find the probability of randomly choosing an M & M given that the candy was yellow. 17. Given that the candy was brown, what is the probability that it was an M&M? Compile the class results in the table below: ||||||||||||||  Color ||  Totals || ||  ||   ||   ||   ||   ||   ||   ||||   || ||   ||   ||   ||   ||   ||   ||   ||||   || ||   ||   ||   ||   ||   ||   ||   ||||   ||  Go back and recalculate the probabilities for #’s 13-17.
 * Type
 * Skittles
 * Skittles
 * M&M’s
 * Totals

Are the results the same? Explain.