Compound Probabilities

A survey revealed that 34% of people are entertained by reading books, 47% are entertained by watching TV, and 19% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV?

• 0.19

• 0.81

• 0.62

• 1

The probability that a student at a certain college is male is 0.47. The probability that a student at that college has a job off campus is 0.32. The probability that a student at the college is male and has a job off campus is 0.12. If a student is chosen at random from the college, what is the probability that the student is male or has an off campus job?

• 0.55

• 0.91

• 0.67

• 0.79

At a California college, 22% of students speak Spanish, 5% speak French, and 3% speak both languages. What is the probability that a student chosen at random from the college speaks Spanish but not French?

• 0.24

• 0.02

• 0.19

• 0.2

According to a survey in one U.S. city, 53% of women between the ages and 25 of 35 are married, 45% are working full time, and 21% are married and working full time. If a woman between the ages of 25 and 35 is picked at random from the city, what is the probability that she is working full time or married but not both?

• 0.79

• 0.23

• 0.98

• 0.56

A survey of the male students at a junior college reveals that, 27% play soccer regularly, 28% are Latino, and half of the Latino students play soccer regularly. If a male student is selected at random, what is the probability that he is neither Latino nor a soccer player?

• 0.59

• 0.31

• 0.45

• 0.27

You draw a card at random from a standard deck of 52 cards. Find the probability that the card is a diamond given that it is a queen.

• 0.5

• 0.25

• 0.333

• 0.077

You draw a card at random from a standard deck of 52 cards. Find the probability that the card is a heart given that it is black.

• 0.25

• 0

• 0..077

• 0.333

You draw a card at random from a standard deck of 52 cards. Find the probability that the card is a spade given that it is not a diamond.

• 0.333

• 0.077

• 0.5

• 0.25

At a California college, 19% of students speak Spanish, 7% speak French, and 4% speak both languages. A student is chosen at random from the college, what is the probability that the student speaks Spanish if she speaks French?

• 0.211

• 0.571

• 0.030

• 0.040

You are dealt a hand of three cards, one at a time. Find the probability that your cards are all diamonds.

• 0.013

• 0.705

• 0.231

• 0.750