Counting and Probability

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(0 defective resistors)

• .279

• .219

• .287

• .255

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(1 defective resistor)

• .613

• .509

• .491

• .605

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(3 defective resistors)

• .113

• .209

• .018

• .056

Find the probability of getting a full (3 cards of 1 denomination and 2 of another) when 5 cards are dealy from an ordinary deck of cards.

• .0014

• .0023

• .0018

• .0009

At a recent graduation at naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Chose 3 pilots are randomly selected to feature on a training brochure. Find P(1 from each branch of military)

• .130

• .140

• .120

• .110

Five students, Caroline, Ashley, Malika, Gianna, and Lily, line up one behind the other. How many different ways can they stand in line?

• 60

• 5

• 25

• 120

A lock has a 3-number code made up of 27 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?

• 3

• 19683

• 17550

• 27

On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has a pop quiz on the same day?

• 12%

• 73%

• 36%

• 23%

How many different three-member teams can be selected from a group of seven students?

• 35

• 1

• 210

• 5040

In a class of 30 students, 13 have a cat and 10 have a dog. There are 4 students who have a cat and a dog. Draw a chart that represents the details of the question and find the probability that a student who does not have a dog has a cat.