4.4 Conditional Probability

1. A bag contains 3 nickels, 5 dimes, and 6 quarters. If a nickel is taken out and not replaced, state the probability that the next coin drawn will be a dime.

5/14

6/13

3/7

5/13

2. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student likes hockey, what is the probability they are male?
Gender Hockey Basketbal
Male 13 5
Female 8 9

13/21

8/21

13/18

13/8

3. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student is female, what is the probability that hockey is preferred?
Gender Hockey Basketball
Male 13 5
Female 8 9

8/9

8/21

21/35

8/17

4. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Determine P(basketball | male)
Gender Hockey Basketball
Male 13 5
Female 8 9

5/14

1/7

5/13

5/18

5. The probability of Crosby scoring next game is 0.3, the probability of him not scoring the game after he scores a goal is 0.6. Determine the probability that he scores a goal in both of the next two games.

0.18

0.12

0.28

0.42

6. From a survey of 500 drivers, 200 drive cars, 120 drive SUVs, 60 drive minivans, and the rest drive trucks. Determine P(truck driver | not a car driver).

3/5

2/5

6/25

None of the above

7. Determine the probability of drawing a face card and then an ace from a regular deck of cards if the face card is not returned.

4/221

3/169

3/52

4/13

8. Out of a group of 100 people, 63 are adults and 37 are children. Of the adults, 31 have brown eyes and of the children, 29 have brown eyes. If a person is selected at random, determine the probability of that person being a child if the colour of eyes is known to be brown.

37/100

29/100

29/60

29/37

4.4 Conditional Probability

1. A bag contains 3 nickels, 5 dimes, and 6 quarters. If a nickel is taken out and not replaced, state the probability that the next coin drawn will be a dime.

2.

What first name or nickname would you like us to use?

2. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student likes hockey, what is the probability they are male? GenderHockeyBasketbalMale135Female89

3. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student is female, what is the probability that hockey is preferred? GenderHockeyBasketballMale135Female89

4. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Determine P(basketball | male) GenderHockeyBasketballMale135Female89

5. The probability of Crosby scoring next game is 0.3, the probability of him not scoring the game after he scores a goal is 0.6. Determine the probability that he scores a goal in both of the next two games.

6. From a survey of 500 drivers, 200 drive cars, 120 drive SUVs, 60 drive minivans, and the rest drive trucks. Determine P(truck driver | not a car driver).

7. Determine the probability of drawing a face card and then an ace from a regular deck of cards if the face card is not returned.

8. Out of a group of 100 people, 63 are adults and 37 are children. Of the adults, 31 have brown eyes and of the children, 29 have brown eyes. If a person is selected at random, determine the probability of that person being a child if the colour of eyes is known to be brown.

2. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student likes hockey, what is the probability they are male?
Gender Hockey Basketbal
Male 13 5
Female 8 9

3. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Given that a student is female, what is the probability that hockey is preferred?
Gender Hockey Basketball
Male 13 5
Female 8 9

4. A class is surveyed to determine whether they prefer hockey or basketball. The table below shows the results. Determine P(basketball | male)
Gender Hockey Basketball
Male 13 5
Female 8 9