Adoctor’s office has a jar of 22 lollipops; 12 are lime, 7 are cherry, 2 are grape, and 1 is orange. if jennifer and seth each take and eat a lollipop at random, what is the probability that jennifer will choose a grape lollipop and seth will choose a cherry one?

The probability that Jennifer will choose grape is 2/22, or 1/11.  The probability that Seth will choose cherry is 7/21, or 1/3.  

Step-by-step explanation:

These represent dependent events of probability.  This means that the probability depends on the previous events.  Since both Jennifer and Seth are choosing and keeping their lollipop, then the total number of outcomes will change after one of them chooses.  Assuming that Jennifer chooses first, she has a total of 22 lollipops to choose from, only 2 of which are grape.  So, she has a 2/22, or 1/11, chance of getting grape.  However, since she is taking her lollipop and not putting it back, then that means that Seth has only 21 lollipops to choose from, 7 of which are cherry, so 7/21, or 1/3.