25 students in a high school health class are asked to write down what foods they ate last week. Of the 25 students, 14 write steak, 6 write chicken, and 5 write both steak and chicken. Using this information, answer each of the following questions.
Let S be the event that a randomly selected student writes steak and C be the event that a randomly selected student writes chicken.
a. What is P(S) the probability that a student writes steak?
b. What is P(C), the probability that a student writes chicken?
c. What is P(S∪ C), the probability that a student writes steak or chicken?
d. What is P(S∩C), the probability that a student writes steak and chicken?
a. P(S)= 19/25
b. P(C)= 11/25
c. P(S union C)= 20/25=4/5
d. P(S intersect C)= 5/25= 1/5
Hope it helps!