Question

A student was interested in finding out the favorite original Avenger of first-graders and third-graders at their school. The data from 100 students are summarized in the table below. Round probabilities to 4 decimal places, as necessary.

	1st Grade	3rd Grade
Iron Man	13	15
Hulk	6	4
Captain America	12	11
Thor	9	7
Black Widow	6	7
Hawkeye	4	6

a. What is the probability that a randomly selected student is a 3rd grader and chose Iron Man as their favorite Avenger?

b. What is the probability that two randomly selected students without replacement both chose Captain America as their favorite Avenger?

Answer 1

	1st Grade	3 Grade	​​Sum
Iron man	13	15	28
Hulk	6	4	10
Captain America	12	11	23
Thor	9	7	16
Black Widow	6	7	13
Hawkeye	4	6	10
Sum	50	50	Overall sum =100

a. The probability that a randomly selected student is a 3rd grader and chose Iron Man as their favorite Avenger =

b. The probability that two randomly selected students without replacement both chose Captain America as their favorite Avenger = p(fisrt choose Captain America)*p(Second choose Captain America)