1. Write a sample space for the following event: a die is rolled, and a coin istossed.2. A card is selected from a deck of 52 playing cards. Find the followingprobabilities:а. Р (a king)b. P (any suit other than hearts)3. A jar contains 6 red, 7 white, and 7 blue marbles. If a marble is chosen atrandom, find the following probabilities:а. Р (red)b. P (red or blue)4. Two dice are rolled. Find the following probabilities:a. P (the sum of the dice is 5)b. P (the sum of the dice is 3 or 6)5. A family has four children. Find the following probabilities:a. P (they have two boys and two girls)b. P (they have three or more girls)

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Answered: 1. Write a sample space for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Fourth coins are tossed. a. Give an example of a simple event. b. Give an example of a joint event. c. What is the complement of getting a head on the third coin? d. What does the sample space consist of?
1. A fair coin is flipped six times and the number of heads is counted. Calculate the probability of exactly three heads.
*Bridge. A bridge hand consists of an unordered arrangement of 13 cards dealt at random from an ordinary deck of 52 playing cards. a. How many possible bridge hands are there?b. Find the probability of being dealt a bridge hand that contains exactly two of the four aces.c. Find the probability of being dealt an 8-4-1 distribution, that is, eight cards of one suit, four of another, and one of another.d. Determine the probability of being dealt a 5-5-2-1 distribution.e. Determine the probability of being dealt a hand void in a specified suit.
For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability of the following event, and (b) the odds in favor of the following event. a) The probability that the card is either a club or a queen is _______ (Simplify your answer.)
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A standard provincial landline telephone number in Cavite contains area code of 3 digits and telephone number of 6 digits.a. How many possible telephone numbers with area code are there in which no digit is repeated?b. What is the probability that the generated numbers are all 8s or all 9s?
2. Three guests to a tea party sit down in three chairs. Then the host re-arranges them according to a pre-made seating chart What is the probability that all of the guests may stay in their chairs? (b) What is the probability that at least one guest may stay in her chair? Hint: Just write down all the sample points. Don't try to use counting rules.
8. You randomly draw 10 cards from a deck of 52playing cards without replacing the card between draws. What is the probability that you draw 2 clubs, 2 hearts, 2 diamonds, and 4 spades? A. B. 0.0214 0.0036 C. D. 0.2142 0.3541
1. Two dice are rolled. What is the probability that the sum is 5 or 11?
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1. Write a sample space for the following event: a die is rolled, and a coin is tossed.