At Least One 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 a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

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

• .7273
• .4
• .16
• .22

The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that the woman is chosen given they like the color blue?

• 4

• .4

• .1

• .25

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

• .525

• .4627

• .6774

• .3143

What is the probability that a randomly chosen person speaks French given they are a girl?

• 2.14

• .24

• .4

• .8571

In a school the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

• 7.8%

• 12.8%

• 5.9%

• Not enough information

The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican? 

• a) 0.9865
• b) 0.2275
• c) 0.0725
• d) 0.0135

To find the probability of at least one, calculate

• 1 - P(E)

• 1 - P(none)

• P(E) + P(not E)

• 1 + P(E)

In New England, 84% of the houses have a garage and 65% of the houses have a garage and a backyard. What is the probability that a house has a backyard given that it has a garage?

• .55

• .77

• 1.29

• .19