I need help on number 7 please **MAT 143 Worksheet 10.1**---**Instructions:**Please show all work and submit with this document. Upload as a single document to Turnitin. This is an independent assignment and should be completed on your own. Answers with no work shown will be counted as incorrect. Where appropriate, reduce fractions to lowest terms and round decimal answers to the nearest thousandth.---**Sample Space** — the set of all possible outcomes from a given probability experiment.### I. WRITING SAMPLE SPACES1. **Write a sample space** for choosing one sub: A sub shop specialized in three types of subs they sell: meatball, ham, and salami. Sample Space: {_______, _______, _______}2. When a key is typed, a computer gives an output of a random odd number greater than 1 and less than 9. You press the key twice. What is the **sample space**? Sample Space: {_______, _______, _______, _______, _______, _______, _______, _______, _______, _____}3. Write the **sample space** for choosing two marbles out of a large bag full of many red and blue marbles. Sample Space: {_______, _______, _______, _______}---### II. FIND PROBABILITIES USING CLASSICAL OR EMPIRICAL PROBABILITIES4. A card is drawn at random from a well-shuffled, standard deck of 52 playing cards. Reduce fractions to lowest terms. What is the probability of drawing: a. a king? b. a club? c. a red card? d. a red spade?5. Using **empirical probability**, suppose you tossed a fair coin 500 times and noted that it landed on heads 175 times and on tails 325 times. (Reduce all fractions to lowest terms.) a. Find P(heads). b. Find P(tails).6. Two fair coins are tossed 225 times simultaneously, and their outcomes were recorded as: | Outcome | Frequency | |-------------|-----------| | Two tails | 65 | | One tail | 110 | | No tails | 50 | Reduce fractions to lowest terms or round to thousandths. a. What is the probability of getting two tails? b. What is the probability of getting one tail? c. What is the probability of getting two heads?7.

7. A die is thrown randomly 450 times. The frequencies of outcomes 1, 2, 3, 4, 5, and 6 are shown in the chart: 4 Outcomes: 1 2 3 Frequencies: 73 70 74 75 Find the following probabilities (check frequencies of each outcome): a. P(4): b. P(number <4): c. P(number > 4): 5 80 6 78

7. A die is thrown randomly 450 times. The frequencies of outcomes 1, 2, 3, 4, 5, and 6 are shown in the chart: 4 Outcomes: 1 2 3 Frequencies: 73 70 74 75 Find the following probabilities (check frequencies of each outcome): a. P(4): b. P(number <4): c. P(number > 4): 5 80 6 78

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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