Year 11 conditional probability

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 that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

What is the probability that they speak French given they are a girl? 

• 2.14
• .24
• .4
• .8571

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

What is the probability that a female is chose given they like a Toyota? 

• .525
• .4627
• .6774
• .3143

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

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

• 4
• .4
• .1
• .25

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

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7