CONDITIONAL PROBABILITY Assignment

Transcription

1 State which the following events are independent and which are dependent.. Drawing a card from a standard deck of playing card and flipping a penny 2. Drawing two disks from an jar without replacement of the first disk. 3. Winning the lottery and purchasing a new house. Driving on a high-speed highway and having an accident. Having a wide forehead and having a high IQ A box contains 8 red coins, yellow coins, and blue coins. Two consecutive draws are made from the bag without replacement of the first draw. Find the probability each of the following events.. Red first, red second 7. Red first, blue second 8. Red first, yellow second. Yellow first, blue second 0. Yellow first, yellow second. Yellow first, red second 2. Blue first, red second 3. Blue first, blue second. Blue first, yellow second. For one roll of a die, let A be the event even and let B the event or. Find each probability... P(B) P(B and A). P(B A) 20. P(A B) 2. Given and, find P(B A). 2. Given and 0. 7, find P(B A). 23. Given P(B A) and, find. 3 2 Word Problem 2. A jar has marbles, 3 of which are color red. If 2 are selected at random without replacing the first one, find the probability that both are color red. 2. In a country club, the probability that a member who play tennis is 7%. If % of the members play tennis and basketball, find the probability that the member who plays basketball, given that the member plays tennis. Copyright Algebra2Coach.com

2 ANSWER State which the following events are independent and which are dependent.. Drawing a card from a standard deck of playing card and flipping a penny Independent 2. Drawing two disks from an jar without replacement of the first disk. 3. Winning the lottery and purchasing a new house. Driving on a high-speed highway and having an accident. Having a wide forehead and having a high IQ Independent A box contains 8 red coins, yellow coins, and blue coins. Two consecutive draws are made from the bag without replacement of the first draw. Find the probability each of the following events.. Red first, red second P(red) 8 P(red and red ) P(B A) P(red red ) P(red red ) % 7. Red first, blue second P(red) 8 P(red and blue ) P(B A) P(blue red ) P(blue red ) 23. 8% Red first, yellow second P(red) 8 P(red and yellow ) P(B A) P(yellow red ) P(yellow red ) 2. 8% Copyright Algebra2Coach.com

3 . Yellow first, blue second P(yellow) P(yellowand red ) 2 P(B A) P(red yellow) P(red yellow) 23. 8% 2 0. Yellow first, yellow second P(yellow) P(red and yellow) P(B A) P(red yellow) P(red yellow) 38. 0% Yellow first, red second P(yellow) P(yellow and red ) P(B A) P(red yellow) P(red yellow) 38. 0% Blue first, red second P(blue ) P(blue and red ) P(B A) P(red blue ) P(red blue ) 38. 0% Copyright Algebra2Coach.com 3

4 3. Blue first, blue second P(blue ) P(blue and blue ) P(B A) P(blue blue ) P(blue blue ). 0% Blue first, yellow second. P(blue ) P(blue and yellow) P(B A) P(yellow blue ) P(yellow blue ) 2. 8% 3 7 For one roll of a die, let A be the event even and let B the event or. Find each probability P(B) P(B) + 2 P(B) P(B and A) P(B and A) 3 2 P(B and A). P(B A) 20. P(A B) P(B A) P(A B) P(B and A) P(B) 2 P(B A) P(A B) 2 3 Copyright Algebra2Coach.com

5 2. Given and, find P(B A). 2 P(B A) 2 P(B A) 2 2. Given and 0. 7, find P(B A) P(B A) 0. P(B A). 7% Given P(B A) and, find. 3 2 P(B A) ( 3 ) ( 2 ). % Word Problem 2. A jar has marbles, 3 of which are color red. If 2 are selected at random without replacing the first one, find the probability that both are color red. P(red) 3 P(red and red ) P(B A) P(red red ) P(red red ). 2% In a country club, the probability that a member who play tennis is 7%. If % of the members play tennis and basketball, find the probability that the member who plays basketball, given that the member plays tennis. P(tennis) 0. 7 P(tennis and basketball) 0. P(B A) P(basketball tennis ) P(basketball tennis ) 72% Copyright Algebra2Coach.com