MATH 225N WEEK 4 HOMEWORK PROBABILITY QUESTION AND ANSWERS

MATH 225N WEEK 4 HOMEWORK PROBABILITY QUESTION AND ANSWERS1. Which of the pairs of events below is dependent? ________________________________________ Select the correct answer below: ________________________________________ drawing a 7 and then drawing another 7 with replacement from a standard deck of cards rolling a 1 and then rolling a 6 with a standard die rolling a 3 and then rolling a 4 with a standard die drawing a heart and then drawing a spade without replacement from a standard deck of cards 2. Identify the option below that represents dependent events. ________________________________________ Select the correct answer below: ________________________________________ drawing a face card and then drawing a 3 without replacement from a standard deck of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and drawing another heart with replacement from a standard deck of cards 3. Which of the following shows mutually exclusive events? ________________________________________ Select the correct answer below: ________________________________________ rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards drawing a 7 and then drawing another 7 with replacement from a standard deck of cards 4. Which of the pairs of events below is mutually exclusive? ________________________________________ Select the correct answer below: ________________________________________ drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and then drawing a spade without replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards (Mutually exclusive events are events that cannot occur together. In this case, drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards are two events that cannot possibly occur together.) 5. A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked at random, what is the probability that the card has an ODD number? ________________________________________ Select the correct answer below: ________________________________________ 10/15 8/15 14/15 6/15 (By counting, we can see that there are 8 odd cards, and a total of 15 cards in the deck. So the probability is 8/15). 6. Hector is a baseball fan but wants to watch something different. There are 5 basketball games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly chooses a game, what is the probability that it is a basketball game? • Give your answer as a fraction. Provide your answer below: 5/11 7. There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one card is chosen at random, what is the probability that it is not between the letters L and P, inclusive? ________________________________________ Provide your answer below: 21/26 8. A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 12? • Give your answer in fraction form. ________________________________________ Provide your answer below: 74/80