Probability question

Question

Ms. Sanchez receives a shipment of 45 calculators, but 2 of them are defective. Ms. Sanchez asks a student to test the calculators.

What is the probability that the first two calculators tested are both defective?

4/2025

2/2025

1/990

2/45

Answer 1

you want to pick a defective calculator on the first pick

the probability is 2/45

you want to pick a defective calculator on the second pick

there is 1 defective calculator left in the group of now only 44 calculators

the probability is 1/44

P(defective,defective)=(2/45)(1/44)=2/1980=1/990 (or you could simplify the fractions to (1/45)(1/22)=1/990

1/990 is the probability