Mathematics Fundamentals (MATH 020)

This is Norma's forensic STR profile at three genetic locations (D3, vWA and FGA). If the probability of the D3 genotype is 40%, the probability of the vWA genotype is 15% and the probability of the FGA genotype is 30%, what is the probability of finding all three results together in one person just by chance? Group of answer choices 3.6% 36% 85% 18% 1.8% 0.36%

In an Ontario allelic database, at one genetic location (vWA), the "14" allele is found in 10% of the Ontario population, and the "17" allele is found in 20% of Ontarians. What is the probability of finding an Ontario person with type 14,17 (as shown above) just by chance? Approximately: Group of answer choices 2% 1% 0.2% 4% 8%

11. Bob and Joe enter a race with 5 friends. What is probability that Bob with get lane 1 and Joe will get to run in lane 2. 12. In your school, Ami, Bob, Cate and Dill apply for positions of President and Secretary. In how many ways can they fill these positions? 13. In how many distinct ways can you re arrange the characters in ‘BOBBY’? 14. Simplify (a) 11 C 7 + 11 C 8 (b) 19 C 5 + 19 C 6 15. Expand ( X + (1/X) ) ^ 5 16. A group of 3 students are to be randomly chosen from a group of 12 students, of which 7 wear Red and 5 wear Blue. What is the probability all 3 will be Red? 17. Give one example each of discrete data and continuous data. 18. Make a tree diagram to show probability distribution of number of girls in a family of three kids. 19. A card is drawn from a deck and then replaced. What is the probability that in 20 trials, an ace is drawn three times? 20. While ordering lunch, you can order one or more of Soup, Main item and Dessert. In how many different ways can you place an order?

1. Yuri is playing a card game. He will lose if he draws a face card (J, Q, or K) from a standard deck of 52 cards. What is the theoretical probability that Yuri will win his first draw? a) 6% b) 9% c) 23% d) 77% 2. Two standard dice are thrown. Determine the theoretical probability that the sum is a) 4 b) 7 c) Even d) Not a 6 3. Two socks are chosen at random from a drawer containing 3 black socks, 1 white sock, and 2 grey socks, all of the same style. What are the odds in favour of the two chosen socks being the same colour? 4. A drama club is putting on two one-act plays. There are 11 actors in the First Play and 7 in the Second Play. 3 actors are in both plays. Use a Venn diagram to determine: a) How many actors there are in all b) How many students are in only one of the two plays 5. A cooler contains the following juice bottles: 3 orange, 5 apple, 3 citrus blend, and 4 grape. What is the probability of reaching in and randomly choosing an apple or orange juice? 6. What is the probability of rolling a sum that is not a 7 with a pair of dice? 7. From a medical study of 10,000 male patients, it was found that 2500 were smokers; 720 died from lung cancer, and of these, 610 were smokers. Determine: a) The probability of dying from lung cancer given being a smoker b) The probability of dying from lung cancer given being a non-smoker

In a survey, the population growth in an area can be predicted according to the equation α(T)=αo(1+d/100)^T where d is the percentage growth rate of population per year and T is the time since the initial population count αo was taken. If in 2016, the population of Adyar was 22000.0 and the population growth rate is 10% per year, then what will be the approximate population of Adyar in 2021?( T=0 corresponds to the year 2016, T=1 corresponds to the year 2017 and so on..)