Final answer:
Event B ('you get salmonella poisoning') is dependent on event A ('you cook your chicken improperly'), as the occurrence of event A affects the likelihood of event B happening.
Step-by-step explanation:
Event B is dependent on event A. If event A is 'you cook your chicken improperly' and event B is 'you get salmonella poisoning', they are considered dependent because the occurrence of event A affects the probability of event B occurring. In terms of probability, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Since improperly cooking chicken (event A) increases the likelihood of contracting salmonella poisoning (event B), we can conclude these events are not independent.
To calculate whether events are independent, you can use the formula P(A AND B) = P(A)P(B), which does not hold true in this case because the probability of getting salmonella poisoning is clearly affected if the chicken is known to be cooked improperly.