Robily. All - Getting Sumat ut 2- getting two even. 3-getting a tive on the second...
1. If a die is rolled 3 times, find the probability of getting at least 1 even number. 2. A student takes a 3-question, multiple-choice exam with 4 choices for each question out of which one choice is correct and guesses on each question. Find the probability that the student guessed two questions correctly.
Find the general solution of jutt + 2 ut + 2 u 3 u(0,t)ut)-0for all t s o ater for all x E (0, π), t > 0 Be sure to clearly indicate the following steps in your solution: 1. 2. 3. How to use separation of variables How to solve the resulting elgenfuiction/eigenvalue problem How the superposition principle is used.
1) For a fair six-sided die, determine the following probabilites: A. Getting a 2 and a 6 on two independent die rolls. B. NOT getting a 4 on a single die roll.
1) For a fair six-sided die, determine the following probabilites: A. Getting a 2 and a 6 on two independent die rolls. B. NOT getting a 4 on a single die roll.
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
1) For breakfast, Robert always selects one item from each of the following: (Orange juice or Grapefruit juice), (Eggs or Hash brown), and (Toast or Bagels). Draw a tree diagram to show all his possible menus. 2) Two fair dice are rolled. Find the probability of each of the following events. (Hint: Construct a sample space). a) Getting even dots on both dice. b) Getting a sum of 5 on both dice. c) Getting an even number of dots on...
Question 10 (5 marks) Careful reasoning is required for this question. Even the right answer with insufficient justifica- tion will not score well in this question. When rolling two dice, find the probability of getting a greater number on the first die than the one on the second one, given that the sum should equal 8.
1. What is the probability of not getting an even number on a single roll of dice? 2. What is the probability of getting a sum equal to 9 when a dice is rolled twice? 3. A raffle has 5 prizes and 25 blanks. A ticket is drawn at random. What is the probability of getting a prize?
2.6 Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can be observed. [These pairs can be listed, for example, by letting (2, 3) denote that a 2 was observed on the first die and a 3 on the second.] a Define the following subsets of S: A: The number on the second die is even. B: The sum of the two numbers is even....
BUSA 3050 Homework 2 Page 2 of 3 3. (5 points) A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events: (a) Let F = the event of getting the white ball twice (b) Let G = the event of getting two balls of different colors (e) Let H = the event of getting white...