Bluebook SAT Test Probability and Conditional Probability 6

Question 1

A class has 24 students. The probability of any student being absent on a given day is 0.05. What is the expected number of absent students?

Accepted Answer

1.2

Answer

1.0

Answer

0.5

Answer

2.4

Question 2

The two-way table shows 200 voters by party and stance on a bill.

Favor  Oppose
Democrat       70      30
Republican     20      80

Given that a voter favors the bill, what is the probability the voter is a Republican?

Accepted Answer

2/9

Answer

1/5

Answer

4/9

Answer

2/11

Question 3

Cards numbered 1 through 20 are shuffled. One card is drawn at random. What is the probability the card shows a multiple of 3 or a multiple of 5?

Accepted Answer

2/5

Answer

1/2

Answer

9/20

Answer

7/20

Question 4

A bag has 5 red and 5 blue chips. Two chips are drawn without replacement. What is the probability both are the same color?

Accepted Answer

4/9

Answer

1/2

Answer

2/5

Answer

5/9

Question 5

A company's hiring data shows: 40% of applicants pass the written test and, of those, 30% pass the interview. What percent of all applicants get hired?

Accepted Answer

12%

Answer

30%

Answer

40%

Answer

70%

Question 6

The two-way table shows 300 students by study method and test result.

Pass  Fail
Study group    110    40
Study alone     90    60

What is the probability a student who failed studied alone?

Accepted Answer

3/5

Answer

1/3

Answer

2/5

Answer

3/10

Question 7

A number is selected at random from 1 to 50. What is the probability it is divisible by both 4 and 6?

Accepted Answer

2/25

Answer

1/10

Answer

1/12

Answer

3/50