1. Denise is analyzing the probability of different outcomes when she tosses three coins in the air. She conducts an experiment where she tosses the three coins and records whether or not she gets more heads than she does tails. (6 marks) Outcome More Heads More Tails Tally THETH TOH THE IIII THE THE I a) What is the experimental probability of getting more heads? b) Denise has made the conclusion that when tossing three coins it is definitely more likely that more heads than tails turn up. Do you agree? Explain your reasoning. c) What is the theoretical probability of more heads turning up? 2. Consider selecting 4 cards from a deck of cards and analyzing the following events. A: The first card selected is black B : The second card selected is a four. C: The four cards selected are all the same colour D: The four cards selected are all face cards. (4 marks) Are events A and B independent or dependent event? Explain your reasoning. g2 Are events C and D Mutually exclusive events? Explain your reasoning. 3. A group of students was asked if they had a brother, a sister or a Pet and the results are listed in the following Venn diagram. Clearly explain the meaning of the value 3 in the diagram (3 marks) Pet Brother 4. Answer the following questions using the Venn diagram in question 3. (9 marks) a) n(Pet ( Brother) b) n(Sister U Brother) c) P(Sister) d) P(Pet n Brother n Sister) c) P(Sister|Pet) () n(Sister n Brother n Pet' )1. Denise is analyzing the probability of different outcomes when she tosses three coins in the air. She conducts an experiment where she tosses the three coins and records whether or not she gets more heads than she does tails. (6 marks) Outcome More Heads More Tails Tally THETH TOH THE IIII THE THE I a) What is the experimental probability of getting more heads? b) Denise has made the conclusion that when tossing three coins it is definitely more likely that more heads than tails turn up. Do you agree? Explain your reasoning. c) What is the theoretical probability of more heads turning up? 2. Consider selecting 4 cards from a deck of cards and analyzing the following events. A: The first card selected is black B : The second card selected is a four. C: The four cards selected are all the same colour D: The four cards selected are all face cards. (4 marks) Are events A and B independent or dependent event? Explain your reasoning. g2 Are events C and D Mutually exclusive events? Explain your reasoning. 3. A group of students was asked if they had a brother, a sister or a Pet and the results are listed in the following Venn diagram. Clearly explain the meaning of the value 3 in the diagram (3 marks) Pet Brother 4. Answer the following questions using the Venn diagram in question 3. (9 marks) a) n(Pet ( Brother) b) n(Sister U Brother) c) P(Sister) d) P(Pet n Brother n Sister) c) P(Sister|Pet) () n(Sister n Brother n Pet' )