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3. We consider tossing a coin four times: a. How many outcomes this experiment has? b. Draw the tree diagram c. List the outcomes constituting each of the following four events. A = event "exactly two heads are tossed", B = event "the first two tosses are tails", C = event "the first toss is heads", %3D D= event "all four tosses come up the same"

3. We consider tossing a coin four times: a. How many outcomes this experiment has? b. Draw the tree diagram c. List the outcomes constituting each of the following four events. A = event "exactly two heads are tossed", B = event "the first two tosses are tails", C = event "the first toss is heads", %3D D= event "all four tosses come up the same"

A First Course in Probability (10th Edition)
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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Can you help me for question 3 ( a,b,c,d,e)

A frequency distribution for the ages of the 40 students is presented in the following Table. Age (yr) Frequency 17 18 1 19 9 20 7 21 7 22 23 3 24 4 26 35 36 1 3. One student is selected at random. Let's define the following events: A = event the student selected is under 21, B = event the student selected is over 30, C = event the student selected is in his or her 20s, and D = event the student selected is over 18. 1. Determine the following events. a. E=(not D) b. F=(A & D) c. G= (A or D) d. H= (B or C) 2. Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H. 3. We consider tossing a coin four times: a. How many outcomes this experiment has? b. Draw the tree diagram c. List the outcomes constituting each of the following four events. A = event "exactly two heads are tossed", B = event "the first two tosses are tails", C = event "the first toss is heads", D = event "all four tosses come up the same" d. List the outcomes of the following events: (C&D); (not A); (B&C); (A or B) e. Calculate the probability of each of the event A,B,C and D.
Transcribed Image Text:A frequency distribution for the ages of the 40 students is presented in the following Table. Age (yr) Frequency 17 18 1 19 9 20 7 21 7 22 23 3 24 4 26 35 36 1 3. One student is selected at random. Let's define the following events: A = event the student selected is under 21, B = event the student selected is over 30, C = event the student selected is in his or her 20s, and D = event the student selected is over 18. 1. Determine the following events. a. E=(not D) b. F=(A & D) c. G= (A or D) d. H= (B or C) 2. Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H. 3. We consider tossing a coin four times: a. How many outcomes this experiment has? b. Draw the tree diagram c. List the outcomes constituting each of the following four events. A = event "exactly two heads are tossed", B = event "the first two tosses are tails", C = event "the first toss is heads", D = event "all four tosses come up the same" d. List the outcomes of the following events: (C&D); (not A); (B&C); (A or B) e. Calculate the probability of each of the event A,B,C and D.
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