Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 4; B: the numbers add to 2; C: at least one of the numbers is 4; and D: the numbers do notadd to 9. Express the given event in symbolic form.The numbers do not add to 2.ВDD'B'B'UDHow many elements does it contain?

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Answered: TOOK TEACHER Suppose two dice (one red,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. a. List all of the possible outcomes for this game (i.e., the sample space). b. Calculate your expected value for this game. Game Outcome Probability c. Is this game profitable over time? How do you know?
MY NOTES ASK YOUR TEACHER Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 2; C: at least one of the numbers is 1; and D: the numbers do not add to 11. Express the given event in symbolic form. HINT [See Example 5.] Either the numbers add to 11 or the red die shows a 1. Dn B ODn A O D'UA D'n A D'UB How many elements does it contain?
5. Trice has 12 blue marbles, 6 green marbles, 7 pink marbles and 11 yellow marbles. Question 5 has four parts. Use the information above to answer each question. 5a. What is the event of getting a pink marble? * 1 p Your answer 5b. Find P(Green) * Your answer 5c. Find P(NOT Blue) Your answer 5d. Find P(NOT Yellow) * Your answer
O There are 7 streets to be named after 7. tree types. Ash, Elm, Fir, Maple, Oak, Pine, and Willow. A city planner randomly selects the street names from the list of 7 tree types. Compute the probability of each of the following events. Event A: The first street is Oak, followed by Elm and then Fir. Event B: The first three streets are Willow, Maple, and Elm, without regard to order. Write your answers as fractions in simplest form. P (A) = P (B) = 0 Continue 00 X S 3 337 Ⓒ2022 McGraw Hill LLC. AR
3. Three dice is thrown. a. How many different outcomes are possible? b. If you picked a certain sum as your lucky number, in how many ways could you get a sum of: b₁ : b₂ : b3 : b4 : bs : 4 3 17 18 20
A pair of fair dice is rolled onoe, Suppose that you lose $7 if the dice sum to 5 and win $8 if the dice sum to 11 or 12. How much should you win or lose if any other number tums up in order for the game to be fair? To keep the game fair, you should (Do not round until the final answer. Then round to the nearest cent as needed.) if the dice sum to any other number
C $ You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. Let B = the event of landing on blue. Let R = the event of landing on red. ▶ Let G = the event of landing on green. Let Y= the event of landing on yellow. a. If you land on Y, you get the biggest prize. Find P(Y). b. If you land on red, you don't get a prize. What is P(R)? % & JAAA 6 7 5 t 6.0 Oll g y NO h u j * 8 i k 9 O 0 р { [ + 11 11
Determine the number of outcomes in the event. Decide whether the event is a simple event or not. You randomly select one card from a standard deck of 52 playing cards. Event A is selecting a jack. outcome(s). Is the event a simple event? Event A has because event A has one outcome.
See pictures for questions a and b. Write your answers as fractions. Problem A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions.

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