Suppose you roll a 6-5 t as an ordered list of four values from { 1, 2, ..., 6}. 1. What is the probability that all four values are 4 or less? Round your answer to 4 decimal places. 2. What is the probability that a maximum value of 4 appears? Round your answer to 4 decimal places. Question 2 o/1 pt @ Details Assume that people have the same probability ( ) of being born in any given month. Under this assumption, find the probability that in a random group of three people there are at least two with the same birth month. 1. Enter your exact answer as a fraction, not a decimal approximation. You do not have to simplify the fraction. 2. Convert your answer to a percentage, rounded to the nearest tenth of a percent. You do not need to include the i symbol. Question 3 of1 pt O Details If a five-element subset of {1, 2, 3, .., 16) is randomly chosen, what is the probability that the subset contains at least one prime number? (Recall that 1 is not prime.) Enter the exact answer as a fraction, not a decimal approximation. You do not have to reduce to simplest terms. Question 4 @ 1/1 pt O Details If a fair coin is tossed seven times, what is the probability that exactly two tosses come up heads? Enter your answer as a froction, not a decimal number. You do not have to simplify the fraction. * Question 5 6 0/1 pt @ Details What is the probability that on a roll of two (normal, six-side) distinguishable dice the sum is at least 10? To help you visualize this, a grid showing the 36 possible results is given below. 36 Enter the exact answer as a fraction, not a decimal approximation. You do not have to reduce to simplest erms. 1 2 3 4 5 6 Question 6 B o/1 pt @ Details Suppose a college student organization has thirty-six members comprising exactly sixt students from each of six different majors. what is the probability that all six majors are represented, if we pull six random names of members out of a hat for a committee assignment? Enter the exact answer as a fraction, not a decimal approximation. You do not have to reduce to simplest terms. Question 7 o/1 pt @ Details what is the probability that rolling a regular six-sided die four times has at least one occurrence of a 5? Enter the exact answer as a fraction, not a decimal approximation. You do not have to reduce to simplest terms. X Question B C ort pt O Details John and Jess play a game where they each roll a die, but John's die is six-sided and Jess's is four-sided dice. What is the probability that the value of John's die is higher than Jess's? (To assist, the grid suggesting the twenty-four outcomes is shown below) Enter the exact answer as a fraction, not a decimal approximation. You do not have to reduce to simplest terms. 1 2 ...4 X Question 9 6 0/1 pt @ Details If a seed is planted, it has a 60% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 3 don't grow? .0743