Multi Step Probability

You have a 73% chance of passing any stats quiz. What is the probability you fail one quiz, then pass the next 3?

• 39%

• 11%

• 8%

• 32%

You pick two marbles from the bag. What is the probability you don't pick any blues?

• 56/90
• 64/100
• 4/100
• 2/90

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9, what is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

What is the probability a person chosen is a woman given she preferred Toyota?

• .525
• .4627
• .6774
• .3143

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. 
What is P(purple then black)?

• 1/18
• 2/5
• 3/7
• 4/9

Which event is not a dependent event?

• Picking 2 students to each be line leader and door holder from a group of 20 students
• Picking 2 marbles from a bag without replacing the first marble
• Picking 2 crayons from a box at the same time (simultaneously) 
• Picking an earring, replacing it, then picking a 2nd earring

Jim picks a diamond out of a deck of cards, replaces it and gets a diamond again. What is the probability this happened. (There are 13 diamonds, and 52 cards in a deck)

• 1/16
• 2/13
• 4/17
• 1/21

Lilly is choosing flowers for her mom, and they are randomly selected. There are 14 roses, 15, sunflowers, and 1 azalea. What is the probability of her getting an azalea, then a rose?

• 7/435
• 1/257
• 5/581
• 2/321

What is the probability a randomly selected person was in first class or second class?

• 27.7%
• 47.1%
• 72.3%
• 14.8%

Manager is chosen at random. What is the probability you chose a manager with 0-5 years experience given that he is from the Midwest?

• 4/9
• 4/53
• 4/23
• 9/53