3- A bag contains 5 blue chips, 4 red chips, and 3 green chips. Three chips are drawn randomly without replacement. Determine the probability of drawing 3 red chips. '1'. A simple betting game has the following rules: -A coin is tossed and if the coin lands on tails, you roll an eight-sided die. -If the coin lands on heads, you toss the coin again. -You win the game when you roll a 6 on the die or you get heads on the second coin toss What is the probability of winning the game? Explain with words and some calculations. D .The probability a graduate from Data high school will attend the Databulous University is E The probability that a student will stay in residence first year (at any university) is 133. The probability that a student will stay in residence or attend Databulous U is E. What is the probability that a student will attend Databulous U and stay in residence? 5- There are two tests for a particular antibody. Test Alpha gives a correct result 94.6% of the time. Test Beta is accurate 88.7% of the time. If a patient is given both tests, find the probability that a. both tests give the correct result b. neither test gives the correct result lo , In an animal-behaviour study, parrots were tested with several intelligence tasks, as shown in the table below. If a parrot is randomly chosen from this study group, what is the probability that the parrot has participated in Number of Tests Number of Hamsters a) Fewer than two tests? O 10 b) Either none or three tests? 4 or more' :|- A survey of 2000 television viewers conducted by a local television station produced the following data: - 40% watch the news at 09 00 - 60% watch the news at 19 00 - 50% watch the news at 22 00 - 25% watch the news at 09 00 and at 19 00 - 20% watch the news at 09 00 and at 22 00 - 20% watch the news at 19 00 and at 22 00 - 10% watch all three news broadcasts a) Create a Venn Diagram and show any processz'calculations b) What percent of those surveyed watch at least one of these programs? c) What percent watch none of these news broadcasts? \f1. In a best-of-four playoff series (there are 2 teams, and they will play up to 4 games), the winner is declared once a team wins three games. No ties are permitted. Draw a tree diagram illustrating the possible results of such a series. How many total games are possible? 2. Four students and two teachers attend a conference at Statistics Canada. They pose for a picture. In how many ways can they line up if they must have the teachers on both sides of the picture? 3. How many 5-digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 30 000? 4. Solve