26-30. A card is drawn from a deck of 52, and ONLY the color [Black (B) or Red (R)] is observed.Then a coin is pulled out of a bag containing a dime (D), a nickel (N), a penny (P) and a quarter (Q).26. Give the sample space for this "experiment" (remember to list them in alphabetical order).27. Write event E, where E is the event that a penny was selected.28. Find P(E).29. Write event F, where F is the event that the coin had a value less than 12 cents.30. Find P(F).

Given that a card is drawn from a deck of 52 cards and only black or red card is observed. So there…

Answered: 26-30. A card is drawn from a deck of…

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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7. Let P(A) = .20 and P(B) = .64. Also events A and B are independent. Find a. P(A/B) b. P(BIAS) C. P(ANB)
20 people on an intermural hockey team want to randomly select a captain. They want to use a random number generator to make the decision. 1. What is the probability that someone gets picked if everyone has an equal chance of being picked? 2. What is a fair way to use the number generator to select someone? 3. What is an unfair way to use the number generator to select someone?
Let the sample space be S ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an odd number less than 8." P(E) = (Type an integer or a decimal. Do not round.)
An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space? Incorrect b. Let A be the event that either a 3 or 4 is rolled first, followed by landing a head on the coin toss.P(A) = Incorrect Present your answer as a decimal rounded to four decimal places.
2. You roll two six-sided dice. Fill in the table to find the product of the two dice. Then make a frequency table listingevery possible product, how often it occurs and then make a probability distribution bar graph. 3. Using the previous problem, find the sample space, S, of the product of the two dice. Let E be the event that theproduct is even. Let T be the event that the product is divisible by 3. Define the events E and T, then find the othersubsets:a) S = b) E =c) T = d) E^c =e) T^c = f) E U T = (are E and T mutually exclusive?) g)E^c ∩ T= h)E U T =
5. A four-sided die, in the shape of a tetrahedron, is rolled twice and the number rolled is recorded each time. (a) Draw a tree-diagram that shows the sample space, S, of this experiment. How many elements are in S? (b) Let E be the event of rolling two numbers that have an odd product. List all of the elements of E as ordered pairs. (c) What is the probability that the two rolled numbers have a product that is odd? (d) What is the probability that the two rolled numbers have a product that is even?
1. Assume the experiment of throwing a pair of dice twice. Evaluate the probability of getting a sum of 3 on the first trial and a sum of 9 on the second one. 2. From a well-shuffled standard deck of 52 cards, one card is to be selected. What is the probability of getting neither a red queen card nor a diamond card?
21-25. A marble is selected from a bag containing 1 blue (B), 1 green (G) and 1 red (R) marble. Then a coin is tossed, and it is noted whether it lands on heads (H) or tails (T). 21. Give the sample space for this "experiment" (remember to list them in alphabetical order). 22. Write the event E that the coin does not land on heads and the marble is not blue. 23. Find the probability of event E. P(E) = 24. Write the event F that the coin lands on heads or the marble is not green. 25. Find the probability of event F. P(F) = (B) or Red (R)] is observed.

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