Please help with questions 12-20
Mathematics of Finance B - Week 9 Before working the problems, study the lesson listed above each problem set. Record the answers on the answer sheet. Turn in the answer sheet to be graded. For some problem sets, answer boxes are given. Choices may be used more than once if necessary. Lesson 2.9 Probability Use the statements below to label the following events as (A) mutually exclusive, (B) overlapping, (C) independent, or (D) dependent. A bag contains 10 large red marbles, 5 small red marbles, 8 large green marbles, and 20 small green marbles. 1) Event A : choosing a small red marble Event B: choosing a large green marble 2) Event A : choosing a red marble Event B: choosing a small marble 3) Event A : choosing a large marble Event B: choosing a green marble 19) A large basket of fruit contains 6 oranges, 4 apples and 10 bananas. If a piece of fruit is chosen at random, what is the probability of getting an orange or a banana? A) 103 B) 54 C) 52 D) 1 20) In a class there are 14 boys and 16 girls. Five students have an " A " in the class and three of those students are girls. What is the probability that a randomly selected student will be a boy or have an " A " in the class? Hint: Think of this as an Overlapping Event - P(AorB) A) 151 B) 157 C) 3017 D) 1057 4) You place 10 blue pens and 10 red pens into a box. You randomly draw one pen, do not replace it, then draw another pen. (D) dependent 5) A box of paperclips contains 100 blue paperclips and 50 silver paperclips. You randomly choose one paperclip, replace it, then choose another paperclip. (C) Independent 6) What is the probability of Event A in question \#1? A) 21 B) 41 (C) 435 D) 4325 7) What is the probability of Event B in question A1? A) 52 B) 54 C) 358 (D) 438 8) What is the probability of Event A in question $2 ? (A) 4315 B) 21 c) 4328 D) 1543 9) What is the probability of Event B in question $2 ? A) 21 B) 41 (C) 4325 D) 4 10) What is the probability of Event A in question 113 ? (A) 4318 B) 54 C) 2518 D) 45 11) What is the probability of Event B in question 113 ? A) 52 (B)) 4328 C) 4325 D) 21 12) What is the P(A or B) for question \#1? A) 4313 B) 4327 C) 4340 D) 8613 13) What is the P(A or B) for question #2 ? Hint: This is an overlapping event A) 1849375 B) 4340 C) 43345 D) 4335 14) What is the P(A or B) for question #3 ? Hint: This is an Overlapping Event A) 4338 B) 4346 C) 43458 D) 1849504 15) Using the information in question #4, if Event A is the first pen you drew, and Event B is the second pen you drew, what is the probability of drawing two red pens? Hint: This is a Dependent Event A) 21 B) 51 C) 389 D) 101 16) Using the information in question \#5, if Event A is drawing a blue paperclip and Event B is drawing a silver paperclip, what is the probability of drawing a blue paperclip then drawing a silver paperclip? Hint: This is an Independent Event A) 1 B) 92 C) 32 D) 447100 17) What is the probability of rolling a 3 on a die? A) 63 B) 41 (C) 61 D) 1 18) What is the probability of rolling a die twice and getting a 3 both times? A) 361 B) 363 C) 62 D) 41
