Find the following probabilities if you are dealt cards from a standard 52-card deck. Round your answers tothree decimal places.a. If a card is randomly selected, what is the probability that the card is a heart? 0.250b. If a card is randomly selected, what is the probability that the card is either a club or a spade?0.500Oºc. If a cards is randomly selected, what is the probability that the card is both a club ando a spade?0d. If two cards are randomly selected, what is the probability of drawing a three first, then drawing ajack? 0.006esce. If two cards are randomly selected, what is the probability of drawing a heart first, then drawing adiamond? 0.064f. If two cards are randomly selected, what is the probability of drawing a face card followed bydrawing an ace? 0.018OFg. If two cards are randomly selected, what is the probability of drawing a diamond first, then drawingan eight? 0.020F1XF280F3QF4F5F6F7DIIF8F9F10

Answered: Image /qna-images/answer/f0dbcb1a-aa55-448e-8d17-adfe214c6990.jpg

Answered: Find the following probabilities if you…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You have a bag of 12 candies, 2 each of purple, green and yellow, and 3 each of pink and red. Calculate the following What is the probability of choosing a green, NOT REPLACING IT BACK in the bag AND then choosing a red? 5/12 1/22 ⅙ 5/144
Given that the probability of a family owning a dog is 0.91, and the probability of a family owning a cat and a dog is 0.15, what is the probability of a family owning a cat given that the family owns a dog?
Based on past experience, the store manager estimates that the probability that any one customer will make a purchase is .30. What is the probability that two of the next three customers will make a purchase?
Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b. What is the probability of losing a game? Your answer is Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is
Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.
Suppose you have the numbers 100–999 written on individual pieces of paper and placed in a hat. If you draw a number from the hat, what is the probability that all three digits are different? (State your answer as a probability: a fraction, decimal, or percent).
Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.
Answering the following: A. Find the probability of drawing a catd that is red with an even number from a full deck of cards.B. Find the probability of drawing a card that is black without a number from a full deck of cards.
a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur. a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring. Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).

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