Question

30 students in a high school health class are asked to write down what foods they ate last week. Of the 30

students, 10 write tacos, 18 write pizza, and 5 write both tacos and pizza. Using this information, answer
each of the following questions.
Let T be the event that randomly selected student writes tacos and P be the event that a randomly
selected student writes pizza.
What is P(T), the probability that a student writes tacos?
What is P(P), the probability that a student writes pizza?
What is P(T and P), the probability that a student writes tacos and
What is P(Tor P), the probability that a student writes tacos or pizza?

Answer 1

1) P(tacos)= 10/30= 1/3

2) P(Pizzas)=18/30 =3/5

3) P(T AND P)= 5/30= 1/6

4) P(T OR P)= P(T) +P(P) - P(T AND P)

= 10/30 +18/30 -5/30

= 23/30

Step-by-step explanation:

Answer is self explanatory.