Probability HW: Conditional Probability

The probability of a first class passenger surviving the sinking of the Titanic is .0922. The probability of being a first class passenger on the Titanic is .1473. What is the probability of a passenger on the Titanic surviving given they were in first class?

• .2855
• .6259
• .0922
• .3230

Mary is a good student. The probability that she studies and passes her test is 3/5. 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

The probability that a student plays a sport but not an instrument is .1. The probability that a student does not play an instrument is .45. What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa.

• .0267
• 37.5
• .02
• .3333

The probability that a boy is picked who speaks German is .16. The probability that a person picked speaks German is .22. What is the probability that the person picked will be a boy given they speak German? 

• .7273
• .4
• .16
• .22

The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that a women is chosen given they liked the color blue? 

• 4
• .4
• .1
• .25

The probability a female is picked who likes Toyota is .3134. The probability that a person likes Toyota is .4627. What is the probability that a female is chosen given they like a Toyota? 

• .525
• .4627
• .6773
• .3143

The probability that a girl is picked who speaks french is .24. The probability that a girl is picked is .60. What is the probability that a person speaks French given they are a girl? 

• 2.14
• .24
• .4
• .8571

The ratio of the number of favorable outcomes to the number of possible outcomes when all possible outcomes are equally likely

• experiment
• Fundamental Counting Principle
• experimental probability
• theoretical probability

Two events such that the occurrence of one event does not affect the likelihood that the other event(s) will occur

• dependent events
• independent events
• experiment
• event