T2 2024 Probability Review I

Event A has a probability of 0.5 and Event B has a probability of 0.4. If A and B are independent events, what is the probability that either A or B (or both) occur(s)?

• 0.1

• 0.3

• 0.5

• 0.7

Refer to the image and answer the question.

• 18

• 20

• 29

• 25

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

• 59.5%

• 1.6%

• 10.5%

• Not enough information

The probability that there will be an accident on Highway 48 each day depends on the weather. If the weather is dry that day, there is a 0.2% chance of an accident on highway 48; if the weather is wet that day, there is a 1.0% chance of an accident. Today, the weather station announced that there is a 20% chance of the weather being wet. What is the probability that there will be an accident on Highway 48 today?

• .0016

• .0020

• .0036

• .0060

The probability that there will be an accident on Highway 48 each day depends on the weather. If the weather is dry that day, there is a 0.2% chance of an accident on highway 48; if the weather is wet that day, there is a 1.0% chance of an accident. Today, the weather station announced that there is a 20% chance of the weather being wet. What is the probability that the weather is dry given that an accident will occur on Highway 48 today?

• 0.4444

• 0.0016

• 0.0036

• 0.002

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?

• .008

• 0.675

• 1.48

• .0593

Your sock drawer has two white socks, six brown socks, and four black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your fight foot. What is the probability that you leave the house with a white sock on your left foot and a brown sock on your right foot?

• 0.273

• 0.182

• 0.091

• 0.25

A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?

• lose an average of $5.50

• lose an average of $1.50

• win an average of $2.00

• lose an average of $10.00

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning ticket is $800. How much money do you take home (after paying for it)?

• $800

• -$6.00

• -$6.50

• -$5.20

What is the probability that a female is chosen given she prefers Toyota?

• 0.5250

• 0.4627

• 0.6774

• 0.3143